4th Grade Long Division Worksheets - Free Printable
Educational worksheet: 4th Grade Long Division Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Long Division Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Long Division Worksheets
Let’s solve each division problem step by step. We’re dividing 4-digit numbers by 1-digit numbers, and some answers will have remainders (shown as “r” followed by the remainder).
We’ll go one by one:
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Problem 1: 7859 ÷ 6
- 6 goes into 7 → 1 time (6 × 1 = 6), subtract → 7 - 6 = 1
- Bring down 8 → 18
- 6 goes into 18 → 3 times (6 × 3 = 18), subtract → 0
- Bring down 5 → 5
- 6 goes into 5 → 0 times, so write 0, bring down 9 → 59
- 6 goes into 59 → 9 times (6 × 9 = 54), subtract → 59 - 54 = 5
→ Answer: 1309 r5
✔ Matches given answer.
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Problem 2: 2814 ÷ 5
- 5 into 2 → 0, so take 28
- 5 into 28 → 5 times (5×5=25), subtract → 3
- Bring down 1 → 31
- 5 into 31 → 6 times (5×6=30), subtract → 1
- Bring down 4 → 14
- 5 into 14 → 2 times (5×2=10), subtract → 4
→ Answer: 562 r4
✔ Matches given answer.
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Problem 3: 7503 ÷ 9
- 9 into 7 → 0, take 75
- 9 into 75 → 8 times (9×8=72), subtract → 3
- Bring down 0 → 30
- 9 into 30 → 3 times (9×3=27), subtract → 3
- Bring down 3 → 33
- 9 into 33 → 3 times (9×3=27), subtract → 6
→ Answer: 833 r6
✔ Matches given answer.
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Problem 4: 1992 ÷ 7
- 7 into 1 → 0, take 19
- 7 into 19 → 2 times (7×2=14), subtract → 5
- Bring down 9 → 59
- 7 into 59 → 8 times (7×8=56), subtract → 3
- Bring down 2 → 32
- 7 into 32 → 4 times (7×4=28), subtract → 4
→ Answer: 284 r4
✔ Matches given answer.
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Problem 5: 5507 ÷ 3
- 3 into 5 → 1 time (3×1=3), subtract → 2
- Bring down 5 → 25
- 3 into 25 → 8 times (3×8=24), subtract → 1
- Bring down 0 → 10
- 3 into 10 → 3 times (3×3=9), subtract → 1
- Bring down 7 → 17
- 3 into 17 → 5 times (3×5=15), subtract → 2
→ Answer: 1835 r2
✔ Matches given answer.
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Problem 6: 8032 ÷ 4
- 4 into 8 → 2 times (4×2=8), subtract → 0
- Bring down 0 → 0
- 4 into 0 → 0 times
- Bring down 3 → 3
- 4 into 3 → 0 times, bring down 2 → 32
- 4 into 32 → 8 times (4×8=32), subtract → 0
→ Answer: 2008
✔ Matches given answer.
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Problem 7: 5911 ÷ 8
- 8 into 5 → 0, take 59
- 8 into 59 → 7 times (8×7=56), subtract → 3
- Bring down 1 → 31
- 8 into 31 → 3 times (8×3=24), subtract → 7
- Bring down 1 → 71
- 8 into 71 → 8 times (8×8=64), subtract → 7
→ Answer: 738 r7
✔ Matches given answer.
---
Problem 8: 8099 ÷ 6
- 6 into 8 → 1 time (6×1=6), subtract → 2
- Bring down 0 → 20
- 6 into 20 → 3 times (6×3=18), subtract → 2
- Bring down 9 → 29
- 6 into 29 → 4 times (6×4=24), subtract → 5
- Bring down 9 → 59
- 6 into 59 → 9 times (6×9=54), subtract → 5
→ Answer: 1349 r5
✔ Matches given answer.
---
Problem 9: 4629 ÷ 7
- 7 into 4 → 0, take 46
- 7 into 46 → 6 times (7×6=42), subtract → 4
- Bring down 2 → 42
- 7 into 42 → 6 times (7×6=42), subtract → 0
- Bring down 9 → 9
- 7 into 9 → 1 time (7×1=7), subtract → 2
→ Answer: 661 r2
✔ Matches given answer.
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All problems are solved correctly as shown in the image. Since this is an answer key, we’ve verified that every solution matches what’s written.
Final Answer:
All answers provided in the worksheet are correct:
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
We’ll go one by one:
---
Problem 1: 7859 ÷ 6
- 6 goes into 7 → 1 time (6 × 1 = 6), subtract → 7 - 6 = 1
- Bring down 8 → 18
- 6 goes into 18 → 3 times (6 × 3 = 18), subtract → 0
- Bring down 5 → 5
- 6 goes into 5 → 0 times, so write 0, bring down 9 → 59
- 6 goes into 59 → 9 times (6 × 9 = 54), subtract → 59 - 54 = 5
→ Answer: 1309 r5
✔ Matches given answer.
---
Problem 2: 2814 ÷ 5
- 5 into 2 → 0, so take 28
- 5 into 28 → 5 times (5×5=25), subtract → 3
- Bring down 1 → 31
- 5 into 31 → 6 times (5×6=30), subtract → 1
- Bring down 4 → 14
- 5 into 14 → 2 times (5×2=10), subtract → 4
→ Answer: 562 r4
✔ Matches given answer.
---
Problem 3: 7503 ÷ 9
- 9 into 7 → 0, take 75
- 9 into 75 → 8 times (9×8=72), subtract → 3
- Bring down 0 → 30
- 9 into 30 → 3 times (9×3=27), subtract → 3
- Bring down 3 → 33
- 9 into 33 → 3 times (9×3=27), subtract → 6
→ Answer: 833 r6
✔ Matches given answer.
---
Problem 4: 1992 ÷ 7
- 7 into 1 → 0, take 19
- 7 into 19 → 2 times (7×2=14), subtract → 5
- Bring down 9 → 59
- 7 into 59 → 8 times (7×8=56), subtract → 3
- Bring down 2 → 32
- 7 into 32 → 4 times (7×4=28), subtract → 4
→ Answer: 284 r4
✔ Matches given answer.
---
Problem 5: 5507 ÷ 3
- 3 into 5 → 1 time (3×1=3), subtract → 2
- Bring down 5 → 25
- 3 into 25 → 8 times (3×8=24), subtract → 1
- Bring down 0 → 10
- 3 into 10 → 3 times (3×3=9), subtract → 1
- Bring down 7 → 17
- 3 into 17 → 5 times (3×5=15), subtract → 2
→ Answer: 1835 r2
✔ Matches given answer.
---
Problem 6: 8032 ÷ 4
- 4 into 8 → 2 times (4×2=8), subtract → 0
- Bring down 0 → 0
- 4 into 0 → 0 times
- Bring down 3 → 3
- 4 into 3 → 0 times, bring down 2 → 32
- 4 into 32 → 8 times (4×8=32), subtract → 0
→ Answer: 2008
✔ Matches given answer.
---
Problem 7: 5911 ÷ 8
- 8 into 5 → 0, take 59
- 8 into 59 → 7 times (8×7=56), subtract → 3
- Bring down 1 → 31
- 8 into 31 → 3 times (8×3=24), subtract → 7
- Bring down 1 → 71
- 8 into 71 → 8 times (8×8=64), subtract → 7
→ Answer: 738 r7
✔ Matches given answer.
---
Problem 8: 8099 ÷ 6
- 6 into 8 → 1 time (6×1=6), subtract → 2
- Bring down 0 → 20
- 6 into 20 → 3 times (6×3=18), subtract → 2
- Bring down 9 → 29
- 6 into 29 → 4 times (6×4=24), subtract → 5
- Bring down 9 → 59
- 6 into 59 → 9 times (6×9=54), subtract → 5
→ Answer: 1349 r5
✔ Matches given answer.
---
Problem 9: 4629 ÷ 7
- 7 into 4 → 0, take 46
- 7 into 46 → 6 times (7×6=42), subtract → 4
- Bring down 2 → 42
- 7 into 42 → 6 times (7×6=42), subtract → 0
- Bring down 9 → 9
- 7 into 9 → 1 time (7×1=7), subtract → 2
→ Answer: 661 r2
✔ Matches given answer.
---
All problems are solved correctly as shown in the image. Since this is an answer key, we’ve verified that every solution matches what’s written.
Final Answer:
All answers provided in the worksheet are correct:
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 math worksheet for 4th grade division.