Let's solve each of these
long division problems where a
3-digit number is divided by a 2-digit number, and we are told there are
no remainders (i.e., each division results in a whole number).
We'll go through each one step-by-step using long division.
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1) 14 | 364
We divide 364 ÷ 14
- How many times does 14 go into 36? → 2 times (14×2 = 28)
- Subtract: 36 - 28 = 8
- Bring down 4 → 84
- How many times does 14 go into 84? → 6 times (14×6 = 84)
- Subtract: 84 - 84 = 0
✔ Answer: 26
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2) 21 | 357
Divide 357 ÷ 21
- 21 into 35 → 1 time (21×1 = 21), subtract: 35 - 21 = 14
- Bring down 7 → 147
- 21 into 147 → 7 times (21×7 = 147)
- Subtract: 147 - 147 = 0
✔ Answer: 17
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3) 33 | 627
Divide 627 ÷ 33
- 33 into 62 → 1 time (33×1 = 33), subtract: 62 - 33 = 29
- Bring down 7 → 297
- 33 into 297 → 9 times (33×9 = 297)
- Subtract: 297 - 297 = 0
✔ Answer: 19
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4) 25 | 625
Divide 625 ÷ 25
- 25 into 62 → 2 times (25×2 = 50), subtract: 62 - 50 = 12
- Bring down 5 → 125
- 25 into 125 → 5 times (25×5 = 125)
- Subtract: 125 - 125 = 0
✔ Answer: 25
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5) 17 | 510
Divide 510 ÷ 17
- 17 into 51 → 3 times (17×3 = 51), subtract: 51 - 51 = 0
- Bring down 0 → 0
- 17 into 0 → 0
✔ Answer: 30
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6) 24 | 816
Divide 816 ÷ 24
- 24 into 81 → 3 times (24×3 = 72), subtract: 81 - 72 = 9
- Bring down 6 → 96
- 24 into 96 → 4 times (24×4 = 96)
- Subtract: 96 - 96 = 0
✔ Answer: 34
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7) 42 | 588
Divide 588 ÷ 42
- 42 into 58 → 1 time (42×1 = 42), subtract: 58 - 42 = 16
- Bring down 8 → 168
- 42 into 168 → 4 times (42×4 = 168)
- Subtract: 168 - 168 = 0
✔ Answer: 14
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8) 34 | 170
Divide 170 ÷ 34
- 34 into 17 → 0, so consider 170
- 34 into 170 → 5 times (34×5 = 170)
- Subtract: 170 - 170 = 0
✔ Answer: 5
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9) 18 | 324
Divide 324 ÷ 18
- 18 into 32 → 1 time (18×1 = 18), subtract: 32 - 18 = 14
- Bring down 4 → 144
- 18 into 144 → 8 times (18×8 = 144)
- Subtract: 144 - 144 = 0
✔ Answer: 18
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10) 54 | 324
Divide 324 ÷ 54
- 54 into 32 → 0, so consider 324
- 54 into 324 → 6 times (54×6 = 324)
- Subtract: 324 - 324 = 0
✔ Answer: 6
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11) 24 | 672
Divide 672 ÷ 24
- 24 into 67 → 2 times (24×2 = 48), subtract: 67 - 48 = 19
- Bring down 2 → 192
- 24 into 192 → 8 times (24×8 = 192)
- Subtract: 192 - 192 = 0
✔ Answer: 28
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12) 31 | 682
Divide 682 ÷ 31
- 31 into 68 → 2 times (31×2 = 62), subtract: 68 - 62 = 6
- Bring down 2 → 62
- 31 into 62 → 2 times (31×2 = 62)
- Subtract: 62 - 62 = 0
✔ Answer: 22
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✔ Final Answers:
1) 26
2) 17
3) 19
4) 25
5) 30
6) 34
7) 14
8) 5
9) 18
10) 6
11) 28
12) 22
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Let me know if you'd like the solutions written out in long division format!
Parent Tip: Review the logic above to help your child master the concept of dividing worksheets 5th grade.