Division worksheet for practicing dividing 4-digit numbers by single digits.
A math worksheet titled "Dividing 4-digit numbers by a single digit" from urbrainy.com, featuring 20 division problems with 4-digit numbers divided by single digits, and a reminder to write the remainder if there is one.
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Step-by-step solution for: Divide 4-digit numbers by a single digit - Division Maths ...
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Show Answer Key & Explanations
Step-by-step solution for: Divide 4-digit numbers by a single digit - Division Maths ...
Absolutely! Let’s solve each of these 20 division problems step by step. Since the worksheet asks to “write the remainder in the answer if there is one,” we’ll present each answer in the format:
> Quotient R Remainder
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We’ll go one by one, using long division (or mental math where possible).
---
- 4 into 7 → 1, write 1, subtract 4 → remainder 3
- Bring down 5 → 35
- 4 into 35 → 8, 8×4=32, subtract → 3
- Bring down 0 → 30
- 4 into 30 → 7, 7×4=28, subtract → 2
- Bring down 3 → 23
- 4 into 23 → 5, 5×4=20, subtract → 3
✔ Answer: 1875 R 3
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- 5 into 7 → 1, subtract 5 → 2
- Bring down 3 → 23
- 5 into 23 → 4, 4×5=20 → 3
- Bring down 6 → 36
- 5 into 36 → 7, 7×5=35 → 1
- Bring down 4 → 14
- 5 into 14 → 2, 2×5=10 → 4
✔ Answer: 1472 R 4
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- 6 into 6 → 1, subtract 6 → 0
- Bring down 5 → 5
- 6 into 5 → 0, so write 0, bring down 3 → 53
- 6 into 53 → 8, 8×6=48 → 5
- Bring down 5 → 55
- 6 into 55 → 9, 9×6=54 → 1
✔ Answer: 1089 R 1
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- 7 into 23 → 3, 3×7=21 → 2
- Bring down 8 → 28
- 7 into 28 → 4, 4×7=28 → 0
- Bring down 6 → 6
- 7 into 6 → 0, remainder 6
✔ Answer: 340 R 6
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- 4 into 6 → 1, 1×4=4 → 2
- Bring down 4 → 24
- 4 into 24 → 6 → 0
- Bring down 5 → 5
- 4 into 5 → 1, 1×4=4 → 1
- Bring down 7 → 17
- 4 into 17 → 4, 4×4=16 → 1
✔ Answer: 1614 R 1
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- 5 into 4 → 0, bring down 7 → 47
- 5 into 47 → 9, 9×5=45 → 2
- Bring down 0 → 20
- 5 into 20 → 4 → 0
- Bring down 8 → 8
- 5 into 8 → 1, 1×5=5 → 3
✔ Answer: 941 R 3
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- 6 into 4 → 0, bring down 2 → 42
- 6 into 42 → 7 → 0
- Bring down 8 → 8
- 6 into 8 → 1, 1×6=6 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
✔ Answer: 714 R 5
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- 7 into 8 → 1, 1×7=7 → 1
- Bring down 1 → 11
- 7 into 11 → 1, 1×7=7 → 4
- Bring down 5 → 45
- 7 into 45 → 6, 6×7=42 → 3
- Bring down 0 → 30
- 7 into 30 → 4, 4×7=28 → 2
✔ Answer: 1164 R 2
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- 5 into 7 → 1, 1×5=5 → 2
- Bring down 7 → 27
- 5 into 27 → 5, 5×5=25 → 2
- Bring down 8 → 28
- 5 into 28 → 5, 5×5=25 → 3
- Bring down 1 → 31
- 5 into 31 → 6, 6×5=30 → 1
✔ Answer: 1556 R 1
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- 6 into 2 → 0, bring down 8 → 28
- 6 into 28 → 4, 4×6=24 → 4
- Bring down 2 → 42
- 6 into 42 → 7 → 0
- Bring down 2 → 2
- 6 into 2 → 0, remainder 2
✔ Answer: 470 R 2
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- 7 into 8 → 1, 1×7=7 → 1
- Bring down 0 → 10
- 7 into 10 → 1, 1×7=7 → 3
- Bring down 7 → 37
- 7 into 37 → 5, 5×7=35 → 2
- Bring down 3 → 23
- 7 into 23 → 3, 3×7=21 → 2
✔ Answer: 1153 R 2
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- 8 into 5 → 0, bring down 4 → 54
- 8 into 54 → 6, 6×8=48 → 6
- Bring down 7 → 67
- 8 into 67 → 8, 8×8=64 → 3
- Bring down 4 → 34
- 8 into 34 → 4, 4×8=32 → 2
✔ Answer: 684 R 2
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- 6 into 8 → 1, 1×6=6 → 2
- Bring down 5 → 25
- 6 into 25 → 4, 4×6=24 → 1
- Bring down 5 → 15
- 6 into 15 → 2, 2×6=12 → 3
- Bring down 5 → 35
- 6 into 35 → 5, 5×6=30 → 5
✔ Answer: 1425 R 5
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- 7 into 4 → 0, bring down 6 → 46
- 7 into 46 → 6, 6×7=42 → 4
- Bring down 3 → 43
- 7 into 43 → 6, 6×7=42 → 1
- Bring down 6 → 16
- 7 into 16 → 2, 2×7=14 → 2
✔ Answer: 662 R 2
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- 8 into 3 → 0, bring down 5 → 35
- 8 into 35 → 4, 4×8=32 → 3
- Bring down 6 → 36
- 8 into 36 → 4, 4×8=32 → 4
- Bring down 7 → 47
- 8 into 47 → 5, 5×8=40 → 7
✔ Answer: 445 R 7
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- 9 into 8 → 0, bring down 4 → 84
- 9 into 84 → 9, 9×9=81 → 3
- Bring down 2 → 32
- 9 into 32 → 3, 3×9=27 → 5
- Bring down 8 → 58
- 9 into 58 → 6, 6×9=54 → 4
✔ Answer: 936 R 4
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- 6 into 8 → 1, 1×6=6 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
- Bring down 6 → 56
- 6 into 56 → 9, 9×6=54 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
✔ Answer: 1494 R 5
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- 7 into 5 → 0, bring down 7 → 57
- 7 into 57 → 8, 8×7=56 → 1
- Bring down 2 → 12
- 7 into 12 → 1, 1×7=7 → 5
- Bring down 1 → 51
- 7 into 51 → 7, 7×7=49 → 2
✔ Answer: 817 R 2
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- 8 into 8 → 1 → 0
- Bring down 9 → 9
- 8 into 9 → 1, 1×8=8 → 1
- Bring down 4 → 14
- 8 into 14 → 1, 1×8=8 → 6
- Bring down 2 → 62
- 8 into 62 → 7, 7×8=56 → 6
✔ Answer: 1117 R 6
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- 9 into 3 → 0, bring down 8 → 38
- 9 into 38 → 4, 4×9=36 → 2
- Bring down 0 → 20
- 9 into 20 → 2, 2×9=18 → 2
- Bring down 3 → 23
- 9 into 23 → 2, 2×9=18 → 5
✔ Answer: 422 R 5
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## ✔ Final Answers Summary:
1. 1875 R 3
2. 1472 R 4
3. 1089 R 1
4. 340 R 6
5. 1614 R 1
6. 941 R 3
7. 714 R 5
8. 1164 R 2
9. 1556 R 1
10. 470 R 2
11. 1153 R 2
12. 684 R 2
13. 1425 R 5
14. 662 R 2
15. 445 R 7
16. 936 R 4
17. 1494 R 5
18. 817 R 2
19. 1117 R 6
20. 422 R 5
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Let me know if you’d like a printable version or step-by-step visuals for any specific problem! 😊
> Quotient R Remainder
---
We’ll go one by one, using long division (or mental math where possible).
---
1. 7503 ÷ 4
- 4 into 7 → 1, write 1, subtract 4 → remainder 3
- Bring down 5 → 35
- 4 into 35 → 8, 8×4=32, subtract → 3
- Bring down 0 → 30
- 4 into 30 → 7, 7×4=28, subtract → 2
- Bring down 3 → 23
- 4 into 23 → 5, 5×4=20, subtract → 3
✔ Answer: 1875 R 3
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2. 7364 ÷ 5
- 5 into 7 → 1, subtract 5 → 2
- Bring down 3 → 23
- 5 into 23 → 4, 4×5=20 → 3
- Bring down 6 → 36
- 5 into 36 → 7, 7×5=35 → 1
- Bring down 4 → 14
- 5 into 14 → 2, 2×5=10 → 4
✔ Answer: 1472 R 4
---
3. 6535 ÷ 6
- 6 into 6 → 1, subtract 6 → 0
- Bring down 5 → 5
- 6 into 5 → 0, so write 0, bring down 3 → 53
- 6 into 53 → 8, 8×6=48 → 5
- Bring down 5 → 55
- 6 into 55 → 9, 9×6=54 → 1
✔ Answer: 1089 R 1
---
4. 2386 ÷ 7
- 7 into 23 → 3, 3×7=21 → 2
- Bring down 8 → 28
- 7 into 28 → 4, 4×7=28 → 0
- Bring down 6 → 6
- 7 into 6 → 0, remainder 6
✔ Answer: 340 R 6
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5. 6457 ÷ 4
- 4 into 6 → 1, 1×4=4 → 2
- Bring down 4 → 24
- 4 into 24 → 6 → 0
- Bring down 5 → 5
- 4 into 5 → 1, 1×4=4 → 1
- Bring down 7 → 17
- 4 into 17 → 4, 4×4=16 → 1
✔ Answer: 1614 R 1
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6. 4708 ÷ 5
- 5 into 4 → 0, bring down 7 → 47
- 5 into 47 → 9, 9×5=45 → 2
- Bring down 0 → 20
- 5 into 20 → 4 → 0
- Bring down 8 → 8
- 5 into 8 → 1, 1×5=5 → 3
✔ Answer: 941 R 3
---
7. 4289 ÷ 6
- 6 into 4 → 0, bring down 2 → 42
- 6 into 42 → 7 → 0
- Bring down 8 → 8
- 6 into 8 → 1, 1×6=6 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
✔ Answer: 714 R 5
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8. 8150 ÷ 7
- 7 into 8 → 1, 1×7=7 → 1
- Bring down 1 → 11
- 7 into 11 → 1, 1×7=7 → 4
- Bring down 5 → 45
- 7 into 45 → 6, 6×7=42 → 3
- Bring down 0 → 30
- 7 into 30 → 4, 4×7=28 → 2
✔ Answer: 1164 R 2
---
9. 7781 ÷ 5
- 5 into 7 → 1, 1×5=5 → 2
- Bring down 7 → 27
- 5 into 27 → 5, 5×5=25 → 2
- Bring down 8 → 28
- 5 into 28 → 5, 5×5=25 → 3
- Bring down 1 → 31
- 5 into 31 → 6, 6×5=30 → 1
✔ Answer: 1556 R 1
---
10. 2822 ÷ 6
- 6 into 2 → 0, bring down 8 → 28
- 6 into 28 → 4, 4×6=24 → 4
- Bring down 2 → 42
- 6 into 42 → 7 → 0
- Bring down 2 → 2
- 6 into 2 → 0, remainder 2
✔ Answer: 470 R 2
---
11. 8073 ÷ 7
- 7 into 8 → 1, 1×7=7 → 1
- Bring down 0 → 10
- 7 into 10 → 1, 1×7=7 → 3
- Bring down 7 → 37
- 7 into 37 → 5, 5×7=35 → 2
- Bring down 3 → 23
- 7 into 23 → 3, 3×7=21 → 2
✔ Answer: 1153 R 2
---
12. 5474 ÷ 8
- 8 into 5 → 0, bring down 4 → 54
- 8 into 54 → 6, 6×8=48 → 6
- Bring down 7 → 67
- 8 into 67 → 8, 8×8=64 → 3
- Bring down 4 → 34
- 8 into 34 → 4, 4×8=32 → 2
✔ Answer: 684 R 2
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13. 8555 ÷ 6
- 6 into 8 → 1, 1×6=6 → 2
- Bring down 5 → 25
- 6 into 25 → 4, 4×6=24 → 1
- Bring down 5 → 15
- 6 into 15 → 2, 2×6=12 → 3
- Bring down 5 → 35
- 6 into 35 → 5, 5×6=30 → 5
✔ Answer: 1425 R 5
---
14. 4636 ÷ 7
- 7 into 4 → 0, bring down 6 → 46
- 7 into 46 → 6, 6×7=42 → 4
- Bring down 3 → 43
- 7 into 43 → 6, 6×7=42 → 1
- Bring down 6 → 16
- 7 into 16 → 2, 2×7=14 → 2
✔ Answer: 662 R 2
---
15. 3567 ÷ 8
- 8 into 3 → 0, bring down 5 → 35
- 8 into 35 → 4, 4×8=32 → 3
- Bring down 6 → 36
- 8 into 36 → 4, 4×8=32 → 4
- Bring down 7 → 47
- 8 into 47 → 5, 5×8=40 → 7
✔ Answer: 445 R 7
---
16. 8428 ÷ 9
- 9 into 8 → 0, bring down 4 → 84
- 9 into 84 → 9, 9×9=81 → 3
- Bring down 2 → 32
- 9 into 32 → 3, 3×9=27 → 5
- Bring down 8 → 58
- 9 into 58 → 6, 6×9=54 → 4
✔ Answer: 936 R 4
---
17. 8969 ÷ 6
- 6 into 8 → 1, 1×6=6 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
- Bring down 6 → 56
- 6 into 56 → 9, 9×6=54 → 2
- Bring down 9 → 29
- 6 into 29 → 4, 4×6=24 → 5
✔ Answer: 1494 R 5
---
18. 5721 ÷ 7
- 7 into 5 → 0, bring down 7 → 57
- 7 into 57 → 8, 8×7=56 → 1
- Bring down 2 → 12
- 7 into 12 → 1, 1×7=7 → 5
- Bring down 1 → 51
- 7 into 51 → 7, 7×7=49 → 2
✔ Answer: 817 R 2
---
19. 8942 ÷ 8
- 8 into 8 → 1 → 0
- Bring down 9 → 9
- 8 into 9 → 1, 1×8=8 → 1
- Bring down 4 → 14
- 8 into 14 → 1, 1×8=8 → 6
- Bring down 2 → 62
- 8 into 62 → 7, 7×8=56 → 6
✔ Answer: 1117 R 6
---
20. 3803 ÷ 9
- 9 into 3 → 0, bring down 8 → 38
- 9 into 38 → 4, 4×9=36 → 2
- Bring down 0 → 20
- 9 into 20 → 2, 2×9=18 → 2
- Bring down 3 → 23
- 9 into 23 → 2, 2×9=18 → 5
✔ Answer: 422 R 5
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## ✔ Final Answers Summary:
1. 1875 R 3
2. 1472 R 4
3. 1089 R 1
4. 340 R 6
5. 1614 R 1
6. 941 R 3
7. 714 R 5
8. 1164 R 2
9. 1556 R 1
10. 470 R 2
11. 1153 R 2
12. 684 R 2
13. 1425 R 5
14. 662 R 2
15. 445 R 7
16. 936 R 4
17. 1494 R 5
18. 817 R 2
19. 1117 R 6
20. 422 R 5
---
Let me know if you’d like a printable version or step-by-step visuals for any specific problem! 😊
Parent Tip: Review the logic above to help your child master the concept of four digit division worksheet.
