Long Division Worksheet - Free Printable
Educational worksheet: Long Division Worksheet. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheet
Let's solve each of the long division problems step by step. I'll go through each one and show the quotient and remainder (if any).
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- 75 goes into 360 4 times because $ 75 \times 4 = 300 $
- Subtract: $ 360 - 300 = 60 $
- 75 does not go into 60 → remainder is 60
✔ Answer: 4 R60
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- 56 goes into 504 9 times because $ 56 \times 9 = 504 $
- Subtract: $ 504 - 504 = 0 $
✔ Answer: 9 R0
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- 17 goes into 98 5 times → $ 17 \times 5 = 85 $
- Subtract: $ 98 - 85 = 13 $
- Bring down 6 → 136
- 17 goes into 136 8 times → $ 17 \times 8 = 136 $
- Subtract: $ 136 - 136 = 0 $
✔ Answer: 58 R0
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- 11 goes into 96 8 times → $ 11 \times 8 = 88 $
- Subtract: $ 96 - 88 = 8 $
- Bring down 8 → 88
- 11 goes into 88 8 times → $ 11 \times 8 = 88 $
- Subtract: $ 88 - 88 = 0 $
✔ Answer: 88 R0
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- 75 goes into 675 9 times → $ 75 \times 9 = 675 $
- Subtract: $ 675 - 675 = 0 $
✔ Answer: 9 R0
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- 91 goes into 728 8 times → $ 91 \times 8 = 728 $
- Subtract: $ 728 - 728 = 0 $
✔ Answer: 8 R0
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- 21 goes into 81 3 times → $ 21 \times 3 = 63 $
- Subtract: $ 81 - 63 = 18 $
- Bring down 9 → 189
- 21 goes into 189 9 times → $ 21 \times 9 = 189 $
- Subtract: $ 189 - 189 = 0 $
✔ Answer: 39 R0
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- 26 goes into 85 3 times → $ 26 \times 3 = 78 $
- Subtract: $ 85 - 78 = 7 $
- Bring down 8 → 78
- 26 goes into 78 3 times → $ 26 \times 3 = 78 $
- Subtract: $ 78 - 78 = 0 $
✔ Answer: 33 R0
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- 14 goes into 72 5 times → $ 14 \times 5 = 70 $
- Subtract: $ 72 - 70 = 2 $
- Bring down 8 → 28
- 14 goes into 28 2 times → $ 14 \times 2 = 28 $
- Subtract: $ 28 - 28 = 0 $
✔ Answer: 52 R0
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- 30 goes into 84 2 times → $ 30 \times 2 = 60 $
- Subtract: $ 84 - 60 = 24 $
- Bring down 0 → 240
- 30 goes into 240 8 times → $ 30 \times 8 = 240 $
- Subtract: $ 240 - 240 = 0 $
✔ Answer: 28 R0
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- 13 goes into 71 5 times → $ 13 \times 5 = 65 $
- Subtract: $ 71 - 65 = 6 $
- Bring down 5 → 65
- 13 goes into 65 5 times → $ 13 \times 5 = 65 $
- Subtract: $ 65 - 65 = 0 $
✔ Answer: 55 R0
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- 14 goes into 81 5 times → $ 14 \times 5 = 70 $
- Subtract: $ 81 - 70 = 11 $
- Bring down 2 → 112
- 14 goes into 112 8 times → $ 14 \times 8 = 112 $
- Subtract: $ 112 - 112 = 0 $
✔ Answer: 58 R0
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| Problem | Answer |
|--------|--------|
| 1. | 4 R60 |
| 2. | 9 R0 |
| 3. | 58 R0 |
| 4. | 88 R0 |
| 5. | 9 R0 |
| 6. | 8 R0 |
| 7. | 39 R0 |
| 8. | 33 R0 |
| 9. | 52 R0 |
| 10. | 28 R0 |
| 11. | 55 R0 |
| 12. | 58 R0 |
> 📝 Note: All answers are exact divisions except problem #1, which has a remainder.
Let me know if you'd like these written in long division format!
---
1. 75)360
- 75 goes into 360 4 times because $ 75 \times 4 = 300 $
- Subtract: $ 360 - 300 = 60 $
- 75 does not go into 60 → remainder is 60
✔ Answer: 4 R60
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2. 56)504
- 56 goes into 504 9 times because $ 56 \times 9 = 504 $
- Subtract: $ 504 - 504 = 0 $
✔ Answer: 9 R0
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3. 17)986
- 17 goes into 98 5 times → $ 17 \times 5 = 85 $
- Subtract: $ 98 - 85 = 13 $
- Bring down 6 → 136
- 17 goes into 136 8 times → $ 17 \times 8 = 136 $
- Subtract: $ 136 - 136 = 0 $
✔ Answer: 58 R0
---
4. 11)968
- 11 goes into 96 8 times → $ 11 \times 8 = 88 $
- Subtract: $ 96 - 88 = 8 $
- Bring down 8 → 88
- 11 goes into 88 8 times → $ 11 \times 8 = 88 $
- Subtract: $ 88 - 88 = 0 $
✔ Answer: 88 R0
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5. 75)675
- 75 goes into 675 9 times → $ 75 \times 9 = 675 $
- Subtract: $ 675 - 675 = 0 $
✔ Answer: 9 R0
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6. 91)728
- 91 goes into 728 8 times → $ 91 \times 8 = 728 $
- Subtract: $ 728 - 728 = 0 $
✔ Answer: 8 R0
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7. 21)819
- 21 goes into 81 3 times → $ 21 \times 3 = 63 $
- Subtract: $ 81 - 63 = 18 $
- Bring down 9 → 189
- 21 goes into 189 9 times → $ 21 \times 9 = 189 $
- Subtract: $ 189 - 189 = 0 $
✔ Answer: 39 R0
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8. 26)858
- 26 goes into 85 3 times → $ 26 \times 3 = 78 $
- Subtract: $ 85 - 78 = 7 $
- Bring down 8 → 78
- 26 goes into 78 3 times → $ 26 \times 3 = 78 $
- Subtract: $ 78 - 78 = 0 $
✔ Answer: 33 R0
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9. 14)728
- 14 goes into 72 5 times → $ 14 \times 5 = 70 $
- Subtract: $ 72 - 70 = 2 $
- Bring down 8 → 28
- 14 goes into 28 2 times → $ 14 \times 2 = 28 $
- Subtract: $ 28 - 28 = 0 $
✔ Answer: 52 R0
---
10. 30)840
- 30 goes into 84 2 times → $ 30 \times 2 = 60 $
- Subtract: $ 84 - 60 = 24 $
- Bring down 0 → 240
- 30 goes into 240 8 times → $ 30 \times 8 = 240 $
- Subtract: $ 240 - 240 = 0 $
✔ Answer: 28 R0
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11. 13)715
- 13 goes into 71 5 times → $ 13 \times 5 = 65 $
- Subtract: $ 71 - 65 = 6 $
- Bring down 5 → 65
- 13 goes into 65 5 times → $ 13 \times 5 = 65 $
- Subtract: $ 65 - 65 = 0 $
✔ Answer: 55 R0
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12. 14)812
- 14 goes into 81 5 times → $ 14 \times 5 = 70 $
- Subtract: $ 81 - 70 = 11 $
- Bring down 2 → 112
- 14 goes into 112 8 times → $ 14 \times 8 = 112 $
- Subtract: $ 112 - 112 = 0 $
✔ Answer: 58 R0
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. | 4 R60 |
| 2. | 9 R0 |
| 3. | 58 R0 |
| 4. | 88 R0 |
| 5. | 9 R0 |
| 6. | 8 R0 |
| 7. | 39 R0 |
| 8. | 33 R0 |
| 9. | 52 R0 |
| 10. | 28 R0 |
| 11. | 55 R0 |
| 12. | 58 R0 |
> 📝 Note: All answers are exact divisions except problem #1, which has a remainder.
Let me know if you'd like these written in long division format!
Parent Tip: Review the logic above to help your child master the concept of long division step by step worksheet.