Math worksheet for practicing long division with two-digit divisors.

Let's solve each of the long division problems step by step. These are all long division problems with two-digit divisors.

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Problem 1: 456 ÷ 12

We divide 456 by 12.

Step-by-step:

1. How many times does 12 go into 45?
→ 12 × 3 = 36, 12 × 4 = 48 (too big) → So, 3 times.
2. Write 3 above the 5 in 456.
3. Multiply: 3 × 12 = 36
4. Subtract: 45 - 36 = 9
5. Bring down the next digit: 9 → becomes 96
6. How many times does 12 go into 96?
→ 12 × 8 = 96 → So, 8 times
7. Write 8 next to 3 → quotient is 38
8. Subtract: 96 - 96 = 0

✔ Answer: 38

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Problem 2: 657 ÷ 29

Divide 657 by 29.

Step-by-step:

1. How many times does 29 go into 65?
→ 29 × 2 = 58, 29 × 3 = 87 (too big) → So, 2 times
2. Write 2 above the 5 in 657.
3. Multiply: 2 × 29 = 58
4. Subtract: 65 - 58 = 7
5. Bring down the 7 → becomes 77
6. How many times does 29 go into 77?
→ 29 × 2 = 58, 29 × 3 = 87 (too big) → So, 2 times
7. Write 2 next to 2 → quotient is 22
8. Multiply: 2 × 29 = 58
9. Subtract: 77 - 58 = 19

✔ Answer: 22 remainder 19, or 22 R19

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Problem 3: 763 ÷ 22

Divide 763 by 22.

Step-by-step:

1. How many times does 22 go into 76?
→ 22 × 3 = 66, 22 × 4 = 88 (too big) → So, 3 times
2. Write 3 above the 6 in 763.
3. Multiply: 3 × 22 = 66
4. Subtract: 76 - 66 = 10
5. Bring down the 3 → becomes 103
6. How many times does 22 go into 103?
→ 22 × 4 = 88, 22 × 5 = 110 (too big) → So, 4 times
7. Write 4 next to 3 → quotient is 34
8. Multiply: 4 × 22 = 88
9. Subtract: 103 - 88 = 15

✔ Answer: 34 remainder 15, or 34 R15

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Problem 4: 691 ÷ 14

Divide 691 by 14.

Step-by-step:

1. How many times does 14 go into 69?
→ 14 × 4 = 56, 14 × 5 = 70 (too big) → So, 4 times
2. Write 4 above the 9 in 691.
3. Multiply: 4 × 14 = 56
4. Subtract: 69 - 56 = 13
5. Bring down the 1 → becomes 131
6. How many times does 14 go into 131?
→ 14 × 9 = 126, 14 × 10 = 140 (too big) → So, 9 times
7. Write 9 next to 4 → quotient is 49
8. Multiply: 9 × 14 = 126
9. Subtract: 131 - 126 = 5

✔ Answer: 49 remainder 5, or 49 R5

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✔ Final Answers:

1. 456 ÷ 12 = 38
2. 657 ÷ 29 = 22 R19
3. 763 ÷ 22 = 34 R15
4. 691 ÷ 14 = 49 R5

Let me know if you'd like these written out in long division format!