You're working on a
Long Division worksheet where you need to divide a
4-digit number by a 1-digit number, and the instructions say:
“No remainders” — meaning each division should result in a whole number quotient.
Let’s solve each problem step-by-step and provide the quotient for all 12 problems.
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Problem 1: 8142 ÷ 6
Divide 8142 by 6:
- 6 into 8 → 1, remainder 2 → bring down 1 → 21
- 6 into 21 → 3, remainder 3 → bring down 4 → 34
- 6 into 34 → 5, remainder 4 → bring down 2 → 42
- 6 into 42 → 7, remainder 0
✔ Quotient: 1357
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Problem 2: 3505 ÷ 5
- 5 into 3 → can’t, so 5 into 35 → 7, remainder 0 → bring down 0 → 0
- 5 into 0 → 0 → bring down 5 → 5
- 5 into 5 → 1
✔ Quotient: 701
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Problem 3: 8640 ÷ 6
- 6 into 8 → 1, remainder 2 → bring down 6 → 26
- 6 into 26 → 4, remainder 2 → bring down 4 → 24
- 6 into 24 → 4, remainder 0 → bring down 0 → 0
- 6 into 0 → 0
✔ Quotient: 1440
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Problem 4: 8202 ÷ 2
- 2 into 8 → 4 → bring down 2 → 2
- 2 into 2 → 1 → bring down 0 → 0
- 2 into 0 → 0 → bring down 2 → 2
- 2 into 2 → 1
✔ Quotient: 4101
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Problem 5: 1804 ÷ 4
- 4 into 1 → can’t, so 4 into 18 → 4, remainder 2 → bring down 0 → 20
- 4 into 20 → 5, remainder 0 → bring down 4 → 4
- 4 into 4 → 1
✔ Quotient: 451
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Problem 6: 2271 ÷ 3
- 3 into 2 → can’t, so 3 into 22 → 7, remainder 1 → bring down 7 → 17
- 3 into 17 → 5, remainder 2 → bring down 1 → 21
- 3 into 21 → 7
✔ Quotient: 757
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Problem 7: 8130 ÷ 5
- 5 into 8 → 1, remainder 3 → bring down 1 → 31
- 5 into 31 → 6, remainder 1 → bring down 3 → 13
- 5 into 13 → 2, remainder 3 → bring down 0 → 30
- 5 into 30 → 6
✔ Quotient: 1626
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Problem 8: 4088 ÷ 7
- 7 into 4 → can’t, so 7 into 40 → 5, remainder 5 → bring down 8 → 58
- 7 into 58 → 8, remainder 2 → bring down 8 → 28
- 7 into 28 → 4
✔ Quotient: 584
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Problem 9: 7210 ÷ 7
- 7 into 7 → 1 → bring down 2 → 2
- 7 into 2 → 0, remainder 2 → bring down 1 → 21
- 7 into 21 → 3 → bring down 0 → 0
- 7 into 0 → 0
✔ Quotient: 1030
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Problem 10: 3730 ÷ 2
- 2 into 3 → 1, remainder 1 → bring down 7 → 17
- 2 into 17 → 8, remainder 1 → bring down 3 → 13
- 2 into 13 → 6, remainder 1 → bring down 0 → 10
- 2 into 10 → 5
✔ Quotient: 1865
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Problem 11: 3408 ÷ 8
- 8 into 3 → can’t, so 8 into 34 → 4, remainder 2 → bring down 0 → 20
- 8 into 20 → 2, remainder 4 → bring down 8 → 48
- 8 into 48 → 6
✔ Quotient: 426
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Problem 12: 7614 ÷ 9
- 9 into 7 → can’t, so 9 into 76 → 8, remainder 4 → bring down 1 → 41
- 9 into 41 → 4, remainder 5 → bring down 4 → 54
- 9 into 54 → 6
✔ Quotient: 846
---
##
✔ Final Answers:
1)
1357
2)
701
3)
1440
4)
4101
5)
451
6)
757
7)
1626
8)
584
9)
1030
10)
1865
11)
426
12)
846
All quotients are whole numbers — as required — with
no remainders.
Let me know if you’d like to see the long division steps written out visually for any of them!
Parent Tip: Review the logic above to help your child master the concept of 4th grade division worksheet.
