Let’s solve each division problem step by step.
We are dividing 4-digit numbers by 1-digit numbers. We’ll use long division for each.
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Problem 1: 7859 ÷ 6
- 6 goes into 7 once → write 1 above 7.
- 1 × 6 = 6; subtract from 7 → remainder 1.
- Bring down 8 → makes 18.
- 6 goes into 18 three times → write 3 above 8.
- 3 × 6 = 18; subtract → 0.
- Bring down 5 → makes 5.
- 6 goes into 5 zero times → write 0 above 5.
- Bring down 9 → makes 59.
- 6 goes into 59 nine times (6×9=54) → write 9 above 9.
- 59 - 54 = 5 → remainder 5.
✔ Answer:
1309 R5
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Problem 2: 2814 ÷ 5
- 5 goes into 2 zero times → look at 28.
- 5 goes into 28 five times (5×5=25) → write 5 above 8.
- 28 - 25 = 3.
- Bring down 1 → 31.
- 5 goes into 31 six times (5×6=30) → write 6 above 1.
- 31 - 30 = 1.
- Bring down 4 → 14.
- 5 goes into 14 two times (5×2=10) → write 2 above 4.
- 14 - 10 = 4 → remainder 4.
✔ Answer:
562 R4
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Problem 3: 7503 ÷ 9
- 9 goes into 7 zero → look at 75.
- 9×8=72 → write 8 above 5.
- 75 - 72 = 3.
- Bring down 0 → 30.
- 9×3=27 → write 3 above 0.
- 30 - 27 = 3.
- Bring down 3 → 33.
- 9×3=27 → write 3 above 3.
- 33 - 27 = 6 → remainder 6.
✔ Answer:
833 R6
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Problem 4: 1992 ÷ 7
- 7 into 1 → 0, so look at 19.
- 7×2=14 → write 2 above 9.
- 19 - 14 = 5.
- Bring down 9 → 59.
- 7×8=56 → write 8 above next 9.
- 59 - 56 = 3.
- Bring down 2 → 32.
- 7×4=28 → write 4 above 2.
- 32 - 28 = 4 → remainder 4.
✔ Answer:
284 R4
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Problem 5: 5507 ÷ 3
- 3 into 5 → 1 (3×1=3), remainder 2.
- Bring down 5 → 25.
- 3×8=24 → write 8 above second 5.
- 25 - 24 = 1.
- Bring down 0 → 10.
- 3×3=9 → write 3 above 0.
- 10 - 9 = 1.
- Bring down 7 → 17.
- 3×5=15 → write 5 above 7.
- 17 - 15 = 2 → remainder 2.
✔ Answer:
1835 R2
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Problem 6: 8032 ÷ 4
- 4 into 8 → 2 → write 2 above 8.
- 8 - 8 = 0.
- Bring down 0 → 0.
- 4 into 0 → 0 → write 0 above 0.
- Bring down 3 → 3.
- 4 into 3 → 0 → write 0 above 3.
- Bring down 2 → 32.
- 4×8=32 → write 8 above 2.
- 32 - 32 = 0.
✔ Answer:
2008
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Problem 7: 5911 ÷ 8
- 8 into 5 → 0, so look at 59.
- 8×7=56 → write 7 above 9.
- 59 - 56 = 3.
- Bring down 1 → 31.
- 8×3=24 → write 3 above first 1.
- 31 - 24 = 7.
- Bring down 1 → 71.
- 8×8=64 → write 8 above last 1.
- 71 - 64 = 7 → remainder 7.
✔ Answer:
738 R7
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Problem 8: 8099 ÷ 6
- 6 into 8 → 1 (6×1=6), remainder 2.
- Bring down 0 → 20.
- 6×3=18 → write 3 above 0.
- 20 - 18 = 2.
- Bring down 9 → 29.
- 6×4=24 → write 4 above first 9.
- 29 - 24 = 5.
- Bring down 9 → 59.
- 6×9=54 → write 9 above last 9.
- 59 - 54 = 5 → remainder 5.
✔ Answer:
1349 R5
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Problem 9: 4629 ÷ 7
- 7 into 4 → 0, so look at 46.
- 7×6=42 → write 6 above 6.
- 46 - 42 = 4.
- Bring down 2 → 42.
- 7×6=42 → write 6 above 2.
- 42 - 42 = 0.
- Bring down 9 → 9.
- 7×1=7 → write 1 above 9.
- 9 - 7 = 2 → remainder 2.
✔ Answer:
661 R2
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Final Answers:
1) 1309 R5
2) 562 R4
3) 833 R6
4) 284 R4
5) 1835 R2
6) 2008
7) 738 R7
8) 1349 R5
9) 661 R2
Final Answer:
1) 1309 R5
2) 562 R4
3) 833 R6
4) 284 R4
5) 1835 R2
6) 2008
7) 738 R7
8) 1349 R5
9) 661 R2
Parent Tip: Review the logic above to help your child master the concept of long division practice worksheets.
