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Use this worksheet to help children build confidence in solving long division problems with remainders.

A printable math worksheet featuring long division problems with single-digit divisors and three-digit dividends for elementary students.

A printable math worksheet featuring long division problems with single-digit divisors and three-digit dividends for elementary students.

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Show Answer Key & Explanations Step-by-step solution for: Long Division Worksheets (with and without Remainders) - Aussie ...
Of course! I’ll solve each of the division problems on this worksheet step by step and explain how to do them. These are all long division problems with 2-digit or 3-digit dividends and 1-digit divisors — perfect for practicing basic division.

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🧮 Problem 1: `8 ) 400`



We want to divide 400 by 8.

- Step 1: How many times does 8 go into 4? → 0 times. So we look at 40.
- Step 2: How many times does 8 go into 40? → 5 times (because 8 × 5 = 40).
- Write 5 above the 0 in 400.
- Subtract 40 - 40 = 0.
- Bring down the next digit: 0.
- Step 3: How many times does 8 go into 0? → 0 times.
- Write 0 above the last 0.

Answer: 50

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🧮 Problem 2: `7 ) 819`



Divide 819 by 7.

- Step 1: 7 goes into 8 → 1 time (7 × 1 = 7). Subtract: 8 - 7 = 1.
- Bring down the 1 → makes 11.
- Step 2: 7 goes into 11 → 1 time (7 × 1 = 7). Subtract: 11 - 7 = 4.
- Bring down the 9 → makes 49.
- Step 3: 7 goes into 49 → 7 times (7 × 7 = 49). Subtract: 49 - 49 = 0.

Answer: 117

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🧮 Problem 3: `9 ) 904`



Divide 904 by 9.

- Step 1: 9 goes into 9 → 1 time (9 × 1 = 9). Subtract: 9 - 9 = 0.
- Bring down the 0 → makes 0.
- Step 2: 9 goes into 0 → 0 times. Write 0.
- Bring down the 4 → makes 4.
- Step 3: 9 goes into 4 → 0 times. Remainder is 4.

Answer: 100 R4 (or 100 with remainder 4)

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🧮 Problem 4: `5 ) 155`



Divide 155 by 5.

- Step 1: 5 goes into 1 → 0, so look at 15.
- 5 goes into 15 → 3 times (5 × 3 = 15). Subtract: 15 - 15 = 0.
- Bring down the 5.
- Step 2: 5 goes into 5 → 1 time (5 × 1 = 5). Subtract: 5 - 5 = 0.

Answer: 31

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🧮 Problem 5: `4 ) 160`



Divide 160 by 4.

- Step 1: 4 goes into 1 → 0, so look at 16.
- 4 goes into 16 → 4 times (4 × 4 = 16). Subtract: 16 - 16 = 0.
- Bring down the 0.
- Step 2: 4 goes into 0 → 0 times.

Answer: 40

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🧮 Problem 6: `8 ) 128`



Divide 128 by 8.

- Step 1: 8 goes into 1 → 0, so look at 12.
- 8 goes into 12 → 1 time (8 × 1 = 8). Subtract: 12 - 8 = 4.
- Bring down the 8 → makes 48.
- Step 2: 8 goes into 48 → 6 times (8 × 6 = 48). Subtract: 48 - 48 = 0.

Answer: 16

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🧮 Problem 7: `6 ) 761`



Divide 761 by 6.

- Step 1: 6 goes into 7 → 1 time (6 × 1 = 6). Subtract: 7 - 6 = 1.
- Bring down the 6 → makes 16.
- Step 2: 6 goes into 16 → 2 times (6 × 2 = 12). Subtract: 16 - 12 = 4.
- Bring down the 1 → makes 41.
- Step 3: 6 goes into 41 → 6 times (6 × 6 = 36). Subtract: 41 - 36 = 5.

Answer: 126 R5 (or 126 with remainder 5)

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🧮 Problem 8: `7 ) 161`



Divide 161 by 7.

- Step 1: 7 goes into 1 → 0, so look at 16.
- 7 goes into 16 → 2 times (7 × 2 = 14). Subtract: 16 - 14 = 2.
- Bring down the 1 → makes 21.
- Step 2: 7 goes into 21 → 3 times (7 × 3 = 21). Subtract: 21 - 21 = 0.

Answer: 23

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🧮 Problem 9: `5 ) 135`



Divide 135 by 5.

- Step 1: 5 goes into 1 → 0, so look at 13.
- 5 goes into 13 → 2 times (5 × 2 = 10). Subtract: 13 - 10 = 3.
- Bring down the 5 → makes 35.
- Step 2: 5 goes into 35 → 7 times (5 × 7 = 35). Subtract: 35 - 35 = 0.

Answer: 27

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🧮 Problem 10: `6 ) 163`



Divide 163 by 6.

- Step 1: 6 goes into 1 → 0, so look at 16.
- 6 goes into 16 → 2 times (6 × 2 = 12). Subtract: 16 - 12 = 4.
- Bring down the 3 → makes 43.
- Step 2: 6 goes into 43 → 7 times (6 × 7 = 42). Subtract: 43 - 42 = 1.

Answer: 27 R1 (or 27 with remainder 1)

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🧮 Problem 11: `3 ) 201`



Divide 201 by 3.

- Step 1: 3 goes into 2 → 0, so look at 20.
- 3 goes into 20 → 6 times (3 × 6 = 18). Subtract: 20 - 18 = 2.
- Bring down the 1 → makes 21.
- Step 2: 3 goes into 21 → 7 times (3 × 7 = 21). Subtract: 21 - 21 = 0.

Answer: 67

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🧮 Problem 12: `6 ) 162`



Divide 162 by 6.

- Step 1: 6 goes into 1 → 0, so look at 16.
- 6 goes into 16 → 2 times (6 × 2 = 12). Subtract: 16 - 12 = 4.
- Bring down the 2 → makes 42.
- Step 2: 6 goes into 42 → 7 times (6 × 7 = 42). Subtract: 42 - 42 = 0.

Answer: 27

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## Final Answers (in order):

1. 50
2. 117
3. 100 R4
4. 31
5. 40
6. 16
7. 126 R5
8. 23
9. 27
10. 27 R1
11. 67
12. 27

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💡 Tip for Kids: Always remember to:
- Start from the leftmost digit.
- Ask “How many times does the divisor go into this part?”
- Multiply, subtract, bring down the next digit.
- Keep going until no digits are left.
- If there’s a leftover number at the end, that’s your remainder!

Let me know if you’d like a printable version or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of grade 5 division worksheet.
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