Long division practice worksheet for teaching the traditional method to divide three-digit numbers by two-digit numbers.

Let’s solve each long division problem step by step using the traditional method (HTU — Hundreds, Tens, Units). We’ll go one at a time and check our work carefully.

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Problem 1: 258 ÷ 15

- 15 into 2? Too small → look at 25.
- How many 15s in 25? 1 × 15 = 15 → write 1 above the 5.
- Subtract: 25 - 15 = 10 → bring down 8 → now we have 108.
- How many 15s in 108? 7 × 15 = 105 → write 7 above the 8.
- Subtract: 108 - 105 = 3 → remainder 3.
✔ Answer: 17 r3

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Problem 2: 319 ÷ 15

- 15 into 3? Too small → look at 31.
- How many 15s in 31? 2 × 15 = 30 → write 2 above the 1.
- Subtract: 31 - 30 = 1 → bring down 9 → now we have 19.
- How many 15s in 19? 1 × 15 = 15 → write 1 above the 9.
- Subtract: 19 - 15 = 4 → remainder 4.
✔ Answer: 21 r4

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Problem 3: 493 ÷ 15

- 15 into 4? Too small → look at 49.
- How many 15s in 49? 3 × 15 = 45 → write 3 above the 9.
- Subtract: 49 - 45 = 4 → bring down 3 → now we have 43.
- How many 15s in 43? 2 × 15 = 30 → write 2 above the 3.
- Subtract: 43 - 30 = 13 → remainder 13.
✔ Answer: 32 r13

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Problem 4: 785 ÷ 12

- 12 into 7? Too small → look at 78.
- How many 12s in 78? 6 × 12 = 72 → write 6 above the 8.
- Subtract: 78 - 72 = 6 → bring down 5 → now we have 65.
- How many 12s in 65? 5 × 12 = 60 → write 5 above the 5.
- Subtract: 65 - 60 = 5 → remainder 5.
✔ Answer: 65 r5

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Problem 5: 603 ÷ 12

- 12 into 6? Too small → look at 60.
- How many 12s in 60? 5 × 12 = 60 → write 5 above the 0.
- Subtract: 60 - 60 = 0 → bring down 3 → now we have 3.
- 12 into 3? 0 → write 0 above the 3.
- Remainder is 3.
✔ Answer: 50 r3

*(Note: Some might write this as 50 with remainder 3 — yes, that’s correct.)*

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Problem 6: 196 ÷ 12

- 12 into 1? Too small → look at 19.
- How many 12s in 19? 1 × 12 = 12 → write 1 above the 9.
- Subtract: 19 - 12 = 7 → bring down 6 → now we have 76.
- How many 12s in 76? 6 × 12 = 72 → write 6 above the 6.
- Subtract: 76 - 72 = 4 → remainder 4.
✔ Answer: 16 r4

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Problem 7: 645 ÷ 22

- 22 into 6? Too small → look at 64.
- How many 22s in 64? 2 × 22 = 44 → write 2 above the 4.
- Subtract: 64 - 44 = 20 → bring down 5 → now we have 205.
- How many 22s in 205? 9 × 22 = 198 → write 9 above the 5.
- Subtract: 205 - 198 = 7 → remainder 7.
✔ Answer: 29 r7

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Problem 8: 383 ÷ 22

- 22 into 3? Too small → look at 38.
- How many 22s in 38? 1 × 22 = 22 → write 1 above the 8.
- Subtract: 38 - 22 = 16 → bring down 3 → now we have 163.
- How many 22s in 163? 7 × 22 = 154 → write 7 above the 3.
- Subtract: 163 - 154 = 9 → remainder 9.
✔ Answer: 17 r9

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Problem 9: 857 ÷ 22

- 22 into 8? Too small → look at 85.
- How many 22s in 85? 3 × 22 = 66 → write 3 above the 5.
- Subtract: 85 - 66 = 19 → bring down 7 → now we have 197.
- How many 22s in 197? 8 × 22 = 176 → write 8 above the 7.
- Subtract: 197 - 176 = 21 → remainder 21.
✔ Answer: 38 r21

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Problem 10: 764 ÷ 35

- 35 into 7? Too small → look at 76.
- How many 35s in 76? 2 × 35 = 70 → write 2 above the 6.
- Subtract: 76 - 70 = 6 → bring down 4 → now we have 64.
- How many 35s in 64? 1 × 35 = 35 → write 1 above the 4.
- Subtract: 64 - 35 = 29 → remainder 29.
✔ Answer: 21 r29

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Problem 11: 820 ÷ 35

- 35 into 8? Too small → look at 82.
- How many 35s in 82? 2 × 35 = 70 → write 2 above the 2.
- Subtract: 82 - 70 = 12 → bring down 0 → now we have 120.
- How many 35s in 120? 3 × 35 = 105 → write 3 above the 0.
- Subtract: 120 - 105 = 15 → remainder 15.
✔ Answer: 23 r15

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Problem 12: 431 ÷ 35

- 35 into 4? Too small → look at 43.
- How many 35s in 43? 1 × 35 = 35 → write 1 above the 3.
- Subtract: 43 - 35 = 8 → bring down 1 → now we have 81.
- How many 35s in 81? 2 × 35 = 70 → write 2 above the 1.
- Subtract: 81 - 70 = 11 → remainder 11.
✔ Answer: 12 r11

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Final Answer:

1) 17 r3
2) 21 r4
3) 32 r13
4) 65 r5
5) 50 r3
6) 16 r4
7) 29 r7
8) 17 r9
9) 38 r21
10) 21 r29
11) 23 r15
12) 12 r11