Long division with remainders worksheet for math practice.

Let's solve each of the long division problems on the worksheet, step by step. We'll find the quotient and any remainder for each.

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1. $ 7 \div 78 $

- 7 goes into 7 once: $ 7 \times 1 = 7 $
- Subtract: $ 7 - 7 = 0 $
- Bring down 8 → 8
- 7 goes into 8 once: $ 7 \times 1 = 7 $
- Subtract: $ 8 - 7 = 1 $

✔ Answer: $ 11 $ R$ 1 $

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2. $ 19 \div 296 $

- 19 goes into 29 once: $ 19 \times 1 = 19 $
- Subtract: $ 29 - 19 = 10 $
- Bring down 6 → 106
- 19 goes into 106 five times: $ 19 \times 5 = 95 $
- Subtract: $ 106 - 95 = 11 $

✔ Answer: $ 15 $ R$ 11 $

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3. $ 6 \div 216 $

- 6 goes into 21 three times: $ 6 \times 3 = 18 $
- Subtract: $ 21 - 18 = 3 $
- Bring down 6 → 36
- 6 goes into 36 six times: $ 6 \times 6 = 36 $
- Subtract: $ 36 - 36 = 0 $

✔ Answer: $ 36 $ R$ 0 $

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4. $ 8 \div 252 $

- 8 goes into 25 three times: $ 8 \times 3 = 24 $
- Subtract: $ 25 - 24 = 1 $
- Bring down 2 → 12
- 8 goes into 12 once: $ 8 \times 1 = 8 $
- Subtract: $ 12 - 8 = 4 $

✔ Answer: $ 31 $ R$ 4 $

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5. $ 22 \div 588 $

- 22 goes into 58 two times: $ 22 \times 2 = 44 $
- Subtract: $ 58 - 44 = 14 $
- Bring down 8 → 148
- 22 goes into 148 six times: $ 22 \times 6 = 132 $
- Subtract: $ 148 - 132 = 16 $

✔ Answer: $ 26 $ R$ 16 $

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6. $ 15 \div 521 $

- 15 goes into 52 three times: $ 15 \times 3 = 45 $
- Subtract: $ 52 - 45 = 7 $
- Bring down 1 → 71
- 15 goes into 71 four times: $ 15 \times 4 = 60 $
- Subtract: $ 71 - 60 = 11 $

✔ Answer: $ 34 $ R$ 11 $

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7. $ 19 \div 928 $

- 19 goes into 92 four times: $ 19 \times 4 = 76 $
- Subtract: $ 92 - 76 = 16 $
- Bring down 8 → 168
- 19 goes into 168 eight times: $ 19 \times 8 = 152 $
- Subtract: $ 168 - 152 = 16 $

✔ Answer: $ 48 $ R$ 16 $

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8. $ 7 \div 829 $

- 7 goes into 8 once: $ 7 \times 1 = 7 $
- Subtract: $ 8 - 7 = 1 $
- Bring down 2 → 12
- 7 goes into 12 one time: $ 7 \times 1 = 7 $
- Subtract: $ 12 - 7 = 5 $
- Bring down 9 → 59
- 7 goes into 59 eight times: $ 7 \times 8 = 56 $
- Subtract: $ 59 - 56 = 3 $

✔ Answer: $ 118 $ R$ 3 $

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9. $ 5 \div 985 $

- 5 goes into 9 one time: $ 5 \times 1 = 5 $
- Subtract: $ 9 - 5 = 4 $
- Bring down 8 → 48
- 5 goes into 48 nine times: $ 5 \times 9 = 45 $
- Subtract: $ 48 - 45 = 3 $
- Bring down 5 → 35
- 5 goes into 35 seven times: $ 5 \times 7 = 35 $
- Subtract: $ 35 - 35 = 0 $

✔ Answer: $ 197 $ R$ 0 $

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10. $ 6 \div 385 $

- 6 goes into 38 six times: $ 6 \times 6 = 36 $
- Subtract: $ 38 - 36 = 2 $
- Bring down 5 → 25
- 6 goes into 25 four times: $ 6 \times 4 = 24 $
- Subtract: $ 25 - 24 = 1 $

✔ Answer: $ 64 $ R$ 1 $

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11. $ 4 \div 653 $

- 4 goes into 6 one time: $ 4 \times 1 = 4 $
- Subtract: $ 6 - 4 = 2 $
- Bring down 5 → 25
- 4 goes into 25 six times: $ 4 \times 6 = 24 $
- Subtract: $ 25 - 24 = 1 $
- Bring down 3 → 13
- 4 goes into 13 three times: $ 4 \times 3 = 12 $
- Subtract: $ 13 - 12 = 1 $

✔ Answer: $ 163 $ R$ 1 $

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12. $ 4 \div 215 $

- 4 goes into 21 five times: $ 4 \times 5 = 20 $
- Subtract: $ 21 - 20 = 1 $
- Bring down 5 → 15
- 4 goes into 15 three times: $ 4 \times 3 = 12 $
- Subtract: $ 15 - 12 = 3 $

✔ Answer: $ 53 $ R$ 3 $

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✔ Final Answers:

| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 7)78 | 11 | 1 |
| 19)296 | 15 | 11 |
| 6)216 | 36 | 0 |
| 8)252 | 31 | 4 |
| 22)588 | 26 | 16 |
| 15)521 | 34 | 11 |
| 19)928 | 48 | 16 |
| 7)829 | 118 | 3 |
| 5)985 | 197 | 0 |
| 6)385 | 64 | 1 |
| 4)653 | 163 | 1 |
| 4)215 | 53 | 3 |

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Let me know if you'd like a visual version of any of these long divisions!