Here are the solutions to all 10 division problems from the worksheet, with step-by-step explanations for each.
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1. 4,071 ÷ 3
We divide 4,071 by 3 using long division:
- 3 goes into 4
1 time → write 1 above the 4.
- 1 × 3 = 3 → subtract: 4 - 3 = 1.
- Bring down 0 → 10.
- 3 goes into 10
3 times → write 3.
- 3 × 3 = 9 → subtract: 10 - 9 = 1.
- Bring down 7 → 17.
- 3 goes into 17
5 times → write 5.
- 5 × 3 = 15 → subtract: 17 - 15 = 2.
- Bring down 1 → 21.
- 3 goes into 21
7 times → write 7.
- 7 × 3 = 21 → subtract: 21 - 21 = 0.
✔ Quotient = 1,357
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2. 4,641 ÷ 3
- 3 into 4 →
1, remainder 1 → bring down 6 → 16
- 3 into 16 →
5, 5×3=15, remainder 1 → bring down 4 → 14
- 3 into 14 →
4, 4×3=12, remainder 2 → bring down 1 → 21
- 3 into 21 →
7, 7×3=21, remainder 0
✔ Quotient = 1,547
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3. 740 ÷ 2
- 2 into 7 →
3, 3×2=6, remainder 1 → bring down 4 → 14
- 2 into 14 →
7, 7×2=14, remainder 0 → bring down 0 → 0
- 2 into 0 →
0
✔ Quotient = 370
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4. 8,944 ÷ 2
- 2 into 8 →
4, remainder 0 → bring down 9 → 9
- 2 into 9 →
4, 4×2=8, remainder 1 → bring down 4 → 14
- 2 into 14 →
7, 7×2=14, remainder 0 → bring down 4 → 4
- 2 into 4 →
2
✔ Quotient = 4,472
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5. 504 ÷ 6
- 6 into 5 → doesn’t go → consider 50
- 6 into 50 →
8, 8×6=48, remainder 2 → bring down 4 → 24
- 6 into 24 →
4
✔ Quotient = 84
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6. 5,680 ÷ 5
- 5 into 5 →
1, remainder 0 → bring down 6 → 6
- 5 into 6 →
1, 1×5=5, remainder 1 → bring down 8 → 18
- 5 into 18 →
3, 3×5=15, remainder 3 → bring down 0 → 30
- 5 into 30 →
6
✔ Quotient = 1,136
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7. 4,119 ÷ 3
- 3 into 4 →
1, remainder 1 → bring down 1 → 11
- 3 into 11 →
3, 3×3=9, remainder 2 → bring down 1 → 21
- 3 into 21 →
7, remainder 0 → bring down 9 → 9
- 3 into 9 →
3
✔ Quotient = 1,373
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8. 3,564 ÷ 6
- 6 into 3 → doesn’t go → consider 35
- 6 into 35 →
5, 5×6=30, remainder 5 → bring down 6 → 56
- 6 into 56 →
9, 9×6=54, remainder 2 → bring down 4 → 24
- 6 into 24 →
4
✔ Quotient = 594
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9. 856 ÷ 4
- 4 into 8 →
2, remainder 0 → bring down 5 → 5
- 4 into 5 →
1, 1×4=4, remainder 1 → bring down 6 → 16
- 4 into 16 →
4
✔ Quotient = 214
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10. 2,965 ÷ 5
- 5 into 2 → doesn’t go → consider 29
- 5 into 29 →
5, 5×5=25, remainder 4 → bring down 6 → 46
- 5 into 46 →
9, 9×5=45, remainder 1 → bring down 5 → 15
- 5 into 15 →
3
✔ Quotient = 593
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✔ Final Answers:
1.
1,357
2.
1,547
3.
370
4.
4,472
5.
84
6.
1,136
7.
1,373
8.
594
9.
214
10.
593
These are all exact divisions (no remainders). Let me know if you’d like to see the long division steps visually drawn out!
Parent Tip: Review the logic above to help your child master the concept of long division without remainders worksheet.