4-Digit by 2-Digit Division worksheet with six practice problems.

Let's solve each of the 4-digit by 2-digit division problems step-by-step. We'll use long division to find the quotient for each.

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1. $ 3441 \div 22 $

We divide 3441 by 22:

- 22 into 34 → 1 (since $ 22 \times 1 = 22 $)
- Subtract: $ 34 - 22 = 12 $
- Bring down 4 → 124
- 22 into 124 → 5 (since $ 22 \times 5 = 110 $)
- Subtract: $ 124 - 110 = 14 $
- Bring down 1 → 141
- 22 into 141 → 6 (since $ 22 \times 6 = 132 $)
- Subtract: $ 141 - 132 = 9 $

So, Quotient = 156, Remainder = 9

✔ $ 3441 \div 22 = 156 \text{ R } 9 $

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2. $ 5258 \div 47 $

- 47 into 52 → 1 (since $ 47 \times 1 = 47 $)
- Subtract: $ 52 - 47 = 5 $
- Bring down 5 → 55
- 47 into 55 → 1 (since $ 47 \times 1 = 47 $)
- Subtract: $ 55 - 47 = 8 $
- Bring down 8 → 88
- 47 into 88 → 1 (since $ 47 \times 1 = 47 $)
- Subtract: $ 88 - 47 = 41 $

So, Quotient = 111, Remainder = 41

✔ $ 5258 \div 47 = 111 \text{ R } 41 $

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3. $ 8001 \div 66 $

- 66 into 80 → 1 (since $ 66 \times 1 = 66 $)
- Subtract: $ 80 - 66 = 14 $
- Bring down 0 → 140
- 66 into 140 → 2 (since $ 66 \times 2 = 132 $)
- Subtract: $ 140 - 132 = 8 $
- Bring down 1 → 81
- 66 into 81 → 1 (since $ 66 \times 1 = 66 $)
- Subtract: $ 81 - 66 = 15 $

So, Quotient = 121, Remainder = 15

✔ $ 8001 \div 66 = 121 \text{ R } 15 $

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4. $ 8338 \div 15 $

- 15 into 83 → 5 (since $ 15 \times 5 = 75 $)
- Subtract: $ 83 - 75 = 8 $
- Bring down 3 → 83
- 15 into 83 → 5 (since $ 15 \times 5 = 75 $)
- Subtract: $ 83 - 75 = 8 $
- Bring down 8 → 88
- 15 into 88 → 5 (since $ 15 \times 5 = 75 $)
- Subtract: $ 88 - 75 = 13 $

So, Quotient = 555, Remainder = 13

✔ $ 8338 \div 15 = 555 \text{ R } 13 $

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5. $ 4166 \div 14 $

- 14 into 41 → 2 (since $ 14 \times 2 = 28 $)
- Subtract: $ 41 - 28 = 13 $
- Bring down 6 → 136
- 14 into 136 → 9 (since $ 14 \times 9 = 126 $)
- Subtract: $ 136 - 126 = 10 $
- Bring down 6 → 106
- 14 into 106 → 7 (since $ 14 \times 7 = 98 $)
- Subtract: $ 106 - 98 = 8 $

So, Quotient = 297, Remainder = 8

✔ $ 4166 \div 14 = 297 \text{ R } 8 $

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6. $ 5745 \div 34 $

- 34 into 57 → 1 (since $ 34 \times 1 = 34 $)
- Subtract: $ 57 - 34 = 23 $
- Bring down 4 → 234
- 34 into 234 → 6 (since $ 34 \times 6 = 204 $)
- Subtract: $ 234 - 204 = 30 $
- Bring down 5 → 305
- 34 into 305 → 8 (since $ 34 \times 8 = 272 $)
- Subtract: $ 305 - 272 = 33 $

So, Quotient = 168, Remainder = 33

✔ $ 5745 \div 34 = 168 \text{ R } 33 $

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7. $ 6337 \div 28 $

- 28 into 63 → 2 (since $ 28 \times 2 = 56 $)
- Subtract: $ 63 - 56 = 7 $
- Bring down 3 → 73
- 28 into 73 → 2 (since $ 28 \times 2 = 56 $)
- Subtract: $ 73 - 56 = 17 $
- Bring down 7 → 177
- 28 into 177 → 6 (since $ 28 \times 6 = 168 $)
- Subtract: $ 177 - 168 = 9 $

So, Quotient = 226, Remainder = 9

✔ $ 6337 \div 28 = 226 \text{ R } 9 $

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8. $ 7048 \div 24 $

- 24 into 70 → 2 (since $ 24 \times 2 = 48 $)
- Subtract: $ 70 - 48 = 22 $
- Bring down 4 → 224
- 24 into 224 → 9 (since $ 24 \times 9 = 216 $)
- Subtract: $ 224 - 216 = 8 $
- Bring down 8 → 88
- 24 into 88 → 3 (since $ 24 \times 3 = 72 $)
- Subtract: $ 88 - 72 = 16 $

So, Quotient = 293, Remainder = 16

✔ $ 7048 \div 24 = 293 \text{ R } 16 $

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9. $ 3084 \div 71 $

- 71 into 308 → 4 (since $ 71 \times 4 = 284 $)
- Subtract: $ 308 - 284 = 24 $
- Bring down 4 → 244
- 71 into 244 → 3 (since $ 71 \times 3 = 213 $)
- Subtract: $ 244 - 213 = 31 $

So, Quotient = 43, Remainder = 31

✔ $ 3084 \div 71 = 43 \text{ R } 31 $

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✔ Final Answers:

| Division | Quotient | Remainder |
|------------------|----------|-----------|
| $ 3441 \div 22 $ | 156 | 9 |
| $ 5258 \div 47 $ | 111 | 41 |
| $ 8001 \div 66 $ | 121 | 15 |
| $ 8338 \div 15 $ | 555 | 13 |
| $ 4166 \div 14 $ | 297 | 8 |
| $ 5745 \div 34 $ | 168 | 33 |
| $ 6337 \div 28 $ | 226 | 9 |
| $ 7048 \div 24 $ | 293 | 16 |
| $ 3084 \div 71 $ | 43 | 31 |

Let me know if you'd like these written in a printable format or with step-by-step long division diagrams!