The document provides instructions for long division with multi-digit divisors. It demonstrates the step-by-step process of dividing 179 by 26. The key steps are to first estimate the quotient, then divide the hundreds place, multiply and subtract, bring down remaining digits and repeat until there is no number left to divide. The answer is checked by multiplying the divisor and quotient.
2. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
3. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
WHAT YOU’VE
LEARNED ALREADY
4. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
2 8r6
8 230
16
70
64
06
WHAT YOU’VE
LEARNED ALREADY
5. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
2 8r6
8 230
16
WHAT YOU’RE
70 LEARNING TO DO TODAY
64
06
WHAT YOU’VE
LEARNED ALREADY
6. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
26 279
2 8r6
8 230
16
WHAT YOU’RE
70 LEARNING TO DO TODAY
64
06
WHAT YOU’VE
LEARNED ALREADY
7. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
26 279
2 8r6
8 230
16
WHAT YOU’RE
70 LEARNING TO DO TODAY
64
06
WHAT YOU’VE
LEARNED ALREADY
8. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
26 279
2 8r6
8 230
16
WHAT YOU’RE
70 LEARNING TO DO TODAY
64
06 Skills Needed:
WHAT YOU’VE Estimating Quotients
LEARNED ALREADY
34. STEP 0: Use
DAD
guidelines
MOM
SISTER
26 179 STEP 1: Because 26
cannot go into 1 or 17,
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
35. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
26 179 STEP 1: Because 26
cannot go into 1 or 17,
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
36. STEP 0: Use
00
DAD
guidelines
MOM
SISTER
26 179 STEP 1: Because 26
cannot go into 1 or 17,
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
37. STEP 0: Use
00 6
DAD
guidelines
MOM
SISTER
26 179 STEP 1: Because 26
cannot go into 1 or 17,
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
38. STEP 0: Use
00 6
DAD
guidelines
MOM
SISTER
26 179 STEP 1: Because 26
cannot go into 1 or 17,
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
26 by 6
39. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
26 by 6
40. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
26 by 6
STEP 3:
SUBTRACT 179 - 156
41. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
26 by 6
STEP 3:
SUBTRACT 179 - 156
42. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
Is the remainder less
than the divisor?
STEP 3:
SUBTRACT 179 - 156
43. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 179 - 156
44. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 179 - 156
23 < 26
MOVE ON
45. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 179 - 156
STEP 4:
23 < 26
Nothing to
MOVE ON
BRING DOWN
46. STEP 0: Use
00 6
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 179 - 156
STEP 4:
23 < 26
Nothing to
MOVE ON
BRING DOWN
47. STEP 0: Use
00 6 r23
DAD
guidelines
MOM
26 179 STEP 1: Because 26
cannot go into 1 or 17,
156
SISTER
DIVIDE 169 by 6
BROTHER (Our estimate)
ROVER
23 STEP 2:
MULTIPLY
STEP 3a: COMPARE 26 by 6
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 179 - 156
STEP 4:
23 < 26
Nothing to
MOVE ON
BRING DOWN
82. STEP 0: Use
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
83. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
84. STEP 0: Use
00
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
85. STEP 0: Use
00 6
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
86. STEP 0: Use
00 6
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER STEP 2:
MULTIPLY
35 by 6
87. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER STEP 2:
MULTIPLY
35 by 6
88. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER STEP 2:
MULTIPLY
35 by 6
STEP 3:
SUBTRACT 258 - 210
89. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
48 STEP 2:
MULTIPLY
35 by 6
STEP 3:
SUBTRACT 258 - 210
90. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
48 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 6
Is the remainder less
than the divisor?
STEP 3:
SUBTRACT 258 - 210
91. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
48 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 6
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 210
92. STEP 0: Use
00 6
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
210
SISTER
DIVIDE 258 by 35
BROTHER (Our estimate = 6)
ROVER
48 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 6
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 210
48 > 35
REDO
99. STEP 0: Use
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
100. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
101. STEP 0: Use
00
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
102. STEP 0: Use
00 7
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
103. STEP 0: Use
00 7
DAD
guidelines
MOM
SISTER
35 258 STEP 1: Because 35
cannot go into 2 or 25,
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER STEP 2:
MULTIPLY
35 by 7
104. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER STEP 2:
MULTIPLY
35 by 7
105. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER STEP 2:
MULTIPLY
35 by 7
STEP 3:
SUBTRACT 258 - 245
106. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
35 by 7
STEP 3:
SUBTRACT 258 - 245
107. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
Is the remainder less
than the divisor?
STEP 3:
SUBTRACT 258 - 245
108. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 245
109. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 245
13 < 35
Move on
110. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 245
STEP 4:
13 < 35
Nothing to
Move on
BRING DOWN
111. STEP 0: Use
00 7
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 245
STEP 4:
13 < 35
Nothing to
Move on
BRING DOWN
112. STEP 0: Use
00 7r13
DAD
guidelines
MOM
35 258 STEP 1: Because 35
cannot go into 2 or 25,
245
SISTER
DIVIDE 258 by 7
BROTHER (1 + our estimate)
ROVER
13 STEP 2:
MULTIPLY
STEP 3a: COMPARE 35 by 7
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 258 - 245
STEP 4:
13 < 35
Nothing to
Move on
BRING DOWN
135. IMPORTANT: Estimate Quotient
268 ÷
Let’s round
this to...
Skip count
30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
136. IMPORTANT: Estimate Quotient
268 ÷
Let’s round
this to...
Skip count
30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
137. IMPORTANT: Estimate Quotient
270 ÷
Let’s round
this to...
Skip count
30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
138. IMPORTANT: Estimate Quotient
Let’s round
this to...
Skip count
270 ÷ 30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
139. IMPORTANT: Estimate Quotient
Let’s round
this to...
Skip count
270 ÷ 30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
30 into 270 is
140. IMPORTANT: Estimate Quotient
Let’s round
this to...
Skip count
270 ÷ 30 30, 60, 90, 120, 150,
180, 210, 240, 270, 300
Which is close
to 268?
30 into 270 is
9
147. STEP 0: Use
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER
148. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER
149. STEP 0: Use
00
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER
150. STEP 0: Use
0 09
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER
151. STEP 0: Use
0 09
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
32 by 9
152. STEP 0: Use
0 09
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
288
SISTER
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
32 by 9
153. STEP 0: Use
0 09
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
288
SISTER
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
32 by 9
154. STEP 0: Use
0 09
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
288
SISTER
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
32 by 9
155. STEP 0: Use
0 09
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
288
SISTER
DIVIDE 268 by 9
BROTHER (Our estimate)
ROVER STEP 2:
MULTIPLY
32 by 9
9 was too high
as an estimate.
162. STEP 0: Use
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
163. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
164. STEP 0: Use
00
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
165. STEP 0: Use
0 08
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
166. STEP 0: Use
0 08
DAD
guidelines
MOM
SISTER
32 268 STEP 1: Because 32
cannot go into 2 or 26,
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER STEP 2:
MULTIPLY
32 by 8
167. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER STEP 2:
MULTIPLY
32 by 8
168. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER STEP 2:
MULTIPLY
32 by 8
STEP 3:
SUBTRACT 268 - 256
169. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
32 by 8
STEP 3:
SUBTRACT 268 - 256
170. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
Is the remainder less
than the divisor?
STEP 3:
SUBTRACT 268 - 256
171. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 268 - 256
172. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 268 - 256
12 < 35
MOVE ON
173. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
Is the remainder less
than the divisor?
If yes, move on. STEP 3:
If no, REDO SUBTRACT 268 - 256
STEP 4:
12 < 35
Nothing to
MOVE ON
BRING DOWN
174. STEP 0: Use
0 08
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 268 - 256
STEP 4:
12 < 35
Nothing to
MOVE ON
BRING DOWN
175. STEP 0: Use
0 08 r12
DAD
guidelines
MOM
32 268 STEP 1: Because 32
cannot go into 2 or 26,
256
SISTER
DIVIDE 268 by 8
BROTHER (Our estimate - 1)
ROVER
12 STEP 2:
MULTIPLY
STEP 3a: COMPARE 32 by 8
STEP 5: Is the remainder less
than the divisor?
REPEAT or
REMAINDER If yes, move on. STEP 3:
If no, REDO SUBTRACT 268 - 256
STEP 4:
12 < 35
Nothing to
MOVE ON
BRING DOWN