Long Division Worksheets for 5th Grade - Free Printable

Let's solve each of these long division problems where a 3-digit number is divided by a 2-digit number, and we are told there are no remainders (i.e., each division results in a whole number).

We'll go through each one step by step using long division.

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1) 14 | 364

Divide 364 ÷ 14

- 14 goes into 36 2 times → 14 × 2 = 28
- Subtract: 36 – 28 = 8
- Bring down 4 → 84
- 14 goes into 84 6 times → 14 × 6 = 84
- Subtract: 84 – 84 = 0

✔ Answer: 26

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2) 21 | 357

Divide 357 ÷ 21

- 21 goes into 35 1 time → 21 × 1 = 21
- Subtract: 35 – 21 = 14
- Bring down 7 → 147
- 21 goes into 147 7 times → 21 × 7 = 147
- Subtract: 147 – 147 = 0

✔ Answer: 17

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3) 33 | 627

Divide 627 ÷ 33

- 33 goes into 62 1 time → 33 × 1 = 33
- Subtract: 62 – 33 = 29
- Bring down 7 → 297
- 33 goes into 297 9 times → 33 × 9 = 297
- Subtract: 297 – 297 = 0

✔ Answer: 19

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4) 25 | 625

Divide 625 ÷ 25

- 25 goes into 62 2 times → 25 × 2 = 50
- Subtract: 62 – 50 = 12
- Bring down 5 → 125
- 25 goes into 125 5 times → 25 × 5 = 125
- Subtract: 125 – 125 = 0

✔ Answer: 25

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5) 17 | 510

Divide 510 ÷ 17

- 17 goes into 51 3 times → 17 × 3 = 51
- Subtract: 51 – 51 = 0
- Bring down 0 → 0
- 17 goes into 0 0 times

✔ Answer: 30

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6) 24 | 816

Divide 816 ÷ 24

- 24 goes into 81 3 times → 24 × 3 = 72
- Subtract: 81 – 72 = 9
- Bring down 6 → 96
- 24 goes into 96 4 times → 24 × 4 = 96
- Subtract: 96 – 96 = 0

✔ Answer: 34

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7) 42 | 588

Divide 588 ÷ 42

- 42 goes into 58 1 time → 42 × 1 = 42
- Subtract: 58 – 42 = 16
- Bring down 8 → 168
- 42 goes into 168 4 times → 42 × 4 = 168
- Subtract: 168 – 168 = 0

✔ Answer: 14

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8) 34 | 170

Divide 170 ÷ 34

- 34 goes into 17 0 times, so consider 170
- 34 goes into 170 5 times → 34 × 5 = 170
- Subtract: 170 – 170 = 0

✔ Answer: 5

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9) 18 | 324

Divide 324 ÷ 18

- 18 goes into 32 1 time → 18 × 1 = 18
- Subtract: 32 – 18 = 14
- Bring down 4 → 144
- 18 goes into 144 8 times → 18 × 8 = 144
- Subtract: 144 – 144 = 0

✔ Answer: 18

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10) 54 | 324

Divide 324 ÷ 54

- 54 goes into 32 0 times, so consider 324
- 54 goes into 324 6 times → 54 × 6 = 324
- Subtract: 324 – 324 = 0

✔ Answer: 6

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11) 24 | 672

Divide 672 ÷ 24

- 24 goes into 67 2 times → 24 × 2 = 48
- Subtract: 67 – 48 = 19
- Bring down 2 → 192
- 24 goes into 192 8 times → 24 × 8 = 192
- Subtract: 192 – 192 = 0

✔ Answer: 28

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12) 31 | 682

Divide 682 ÷ 31

- 31 goes into 68 2 times → 31 × 2 = 62
- Subtract: 68 – 62 = 6
- Bring down 2 → 62
- 31 goes into 62 2 times → 31 × 2 = 62
- Subtract: 62 – 62 = 0

✔ Answer: 22

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 26 |
| 2) | 17 |
| 3) | 19 |
| 4) | 25 |
| 5) | 30 |
| 6) | 34 |
| 7) | 14 |
| 8) | 5 |
| 9) | 18 |
| 10) | 6 |
| 11) | 28 |
| 12) | 22 |

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🔍 Tips for Long Division:

1. Estimate how many times the divisor fits into the first few digits.
2. Multiply, subtract, bring down.
3. Repeat until you reach zero (since no remainders).
4. Check your work: Quotient × Divisor = Dividend

Let me know if you'd like a visual step-by-step breakdown of any specific problem!