Answers to 3-digit by 1-digit division math problems.
Worksheet showing answers for 3-digit by 1-digit division problems with step-by-step solutions.
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Step-by-step solution for: 3-Digit by 1-Digit Long Division with Remainders and Steps Shown ...
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Show Answer Key & Explanations
Step-by-step solution for: 3-Digit by 1-Digit Long Division with Remainders and Steps Shown ...
The image shows a worksheet for solving 3-digit by 1-digit division problems. Each problem is worked out step-by-step using long division. Below, I will explain the solution process for each problem.
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1. Divide: How many times does 5 go into 8?
- 5 goes into 8 once (since \( 5 \times 1 = 5 \)). Write 1 above the line.
2. Multiply: Multiply 5 by 1 to get 5. Write 5 below 8.
3. Subtract: Subtract 5 from 8 to get 3.
4. Bring down: Bring down the next digit (4) to make it 34.
5. Repeat: How many times does 5 go into 34?
- 5 goes into 34 six times (since \( 5 \times 6 = 30 \)). Write 6 above the line.
6. Multiply: Multiply 5 by 6 to get 30. Write 30 below 34.
7. Subtract: Subtract 30 from 34 to get 4.
8. Bring down: Bring down the next digit (3) to make it 43.
9. Repeat: How many times does 5 go into 43?
- 5 goes into 43 eight times (since \( 5 \times 8 = 40 \)). Write 8 above the line.
10. Multiply: Multiply 5 by 8 to get 40. Write 40 below 43.
11. Subtract: Subtract 40 from 43 to get 3.
Final Answer: \( 843 \div 5 = 168 \) with a remainder of 3.
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1. Divide: How many times does 3 go into 3?
- 3 goes into 3 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
2. Multiply: Multiply 3 by 1 to get 3. Write 3 below 3.
3. Subtract: Subtract 3 from 3 to get 0.
4. Bring down: Bring down the next digit (4) to make it 4.
5. Repeat: How many times does 3 go into 4?
- 3 goes into 4 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
6. Multiply: Multiply 3 by 1 to get 3. Write 3 below 4.
7. Subtract: Subtract 3 from 4 to get 1.
8. Bring down: Bring down the next digit (3) to make it 13.
9. Repeat: How many times does 3 go into 13?
- 3 goes into 13 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
10. Multiply: Multiply 3 by 4 to get 12. Write 12 below 13.
11. Subtract: Subtract 12 from 13 to get 1.
Final Answer: \( 343 \div 3 = 114 \) with a remainder of 1.
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1. Divide: How many times does 2 go into 7?
- 2 goes into 7 three times (since \( 2 \times 3 = 6 \)). Write 3 above the line.
2. Multiply: Multiply 2 by 3 to get 6. Write 6 below 7.
3. Subtract: Subtract 6 from 7 to get 1.
4. Bring down: Bring down the next digit (3) to make it 13.
5. Repeat: How many times does 2 go into 13?
- 2 goes into 13 six times (since \( 2 \times 6 = 12 \)). Write 6 above the line.
6. Multiply: Multiply 2 by 6 to get 12. Write 12 below 13.
7. Subtract: Subtract 12 from 13 to get 1.
8. Bring down: Bring down the next digit (4) to make it 14.
9. Repeat: How many times does 2 go into 14?
- 2 goes into 14 seven times (since \( 2 \times 7 = 14 \)). Write 7 above the line.
10. Multiply: Multiply 2 by 7 to get 14. Write 14 below 14.
11. Subtract: Subtract 14 from 14 to get 0.
Final Answer: \( 734 \div 2 = 367 \) with no remainder.
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1. Divide: How many times does 4 go into 7?
- 4 goes into 7 once (since \( 4 \times 1 = 4 \)). Write 1 above the line.
2. Multiply: Multiply 4 by 1 to get 4. Write 4 below 7.
3. Subtract: Subtract 4 from 7 to get 3.
4. Bring down: Bring down the next digit (6) to make it 36.
5. Repeat: How many times does 4 go into 36?
- 4 goes into 36 nine times (since \( 4 \times 9 = 36 \)). Write 9 above the line.
6. Multiply: Multiply 4 by 9 to get 36. Write 36 below 36.
7. Subtract: Subtract 36 from 36 to get 0.
8. Bring down: Bring down the next digit (7) to make it 7.
9. Repeat: How many times does 4 go into 7?
- 4 goes into 7 once (since \( 4 \times 1 = 4 \)). Write 1 above the line.
10. Multiply: Multiply 4 by 1 to get 4. Write 4 below 7.
11. Subtract: Subtract 4 from 7 to get 3.
Final Answer: \( 767 \div 4 = 191 \) with a remainder of 3.
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1. Divide: How many times does 3 go into 8?
- 3 goes into 8 two times (since \( 3 \times 2 = 6 \)). Write 2 above the line.
2. Multiply: Multiply 3 by 2 to get 6. Write 6 below 8.
3. Subtract: Subtract 6 from 8 to get 2.
4. Bring down: Bring down the next digit (8) to make it 28.
5. Repeat: How many times does 3 go into 28?
- 3 goes into 28 nine times (since \( 3 \times 9 = 27 \)). Write 9 above the line.
6. Multiply: Multiply 3 by 9 to get 27. Write 27 below 28.
7. Subtract: Subtract 27 from 28 to get 1.
8. Bring down: Bring down the next digit (2) to make it 12.
9. Repeat: How many times does 3 go into 12?
- 3 goes into 12 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
10. Multiply: Multiply 3 by 4 to get 12. Write 12 below 12.
11. Subtract: Subtract 12 from 12 to get 0.
Final Answer: \( 882 \div 3 = 294 \) with no remainder.
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1. Divide: How many times does 2 go into 1?
- 2 does not go into 1. So, write 0 above the line and bring down the next digit (5) to make it 15.
2. Repeat: How many times does 2 go into 15?
- 2 goes into 15 seven times (since \( 2 \times 7 = 14 \)). Write 7 above the line.
3. Multiply: Multiply 2 by 7 to get 14. Write 14 below 15.
4. Subtract: Subtract 14 from 15 to get 1.
5. Bring down: Bring down the next digit (7) to make it 17.
6. Repeat: How many times does 2 go into 17?
- 2 goes into 17 eight times (since \( 2 \times 8 = 16 \)). Write 8 above the line.
7. Multiply: Multiply 2 by 8 to get 16. Write 16 below 17.
8. Subtract: Subtract 16 from 17 to get 1.
Final Answer: \( 157 \div 2 = 78 \) with a remainder of 1.
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1. Divide: How many times does 8 go into 2?
- 8 does not go into 2. So, write 0 above the line and bring down the next digit (8) to make it 28.
2. Repeat: How many times does 8 go into 28?
- 8 goes into 28 three times (since \( 8 \times 3 = 24 \)). Write 3 above the line.
3. Multiply: Multiply 8 by 3 to get 24. Write 24 below 28.
4. Subtract: Subtract 24 from 28 to get 4.
5. Bring down: Bring down the next digit (3) to make it 43.
6. Repeat: How many times does 8 go into 43?
- 8 goes into 43 five times (since \( 8 \times 5 = 40 \)). Write 5 above the line.
7. Multiply: Multiply 8 by 5 to get 40. Write 40 below 43.
8. Subtract: Subtract 40 from 43 to get 3.
Final Answer: \( 283 \div 8 = 35 \) with a remainder of 3.
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1. Divide: How many times does 3 go into 4?
- 3 goes into 4 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
2. Multiply: Multiply 3 by 1 to get 3. Write 3 below 4.
3. Subtract: Subtract 3 from 4 to get 1.
4. Bring down: Bring down the next digit (4) to make it 14.
5. Repeat: How many times does 3 go into 14?
- 3 goes into 14 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
6. Multiply: Multiply 3 by 4 to get 12. Write 12 below 14.
7. Subtract: Subtract 12 from 14 to get 2.
8. Bring down: Bring down the next digit (8) to make it 28.
9. Repeat: How many times does 3 go into 28?
- 3 goes into 28 nine times (since \( 3 \times 9 = 27 \)). Write 9 above the line.
10. Multiply: Multiply 3 by 9 to get 27. Write 27 below 28.
11. Subtract: Subtract 27 from 28 to get 1.
Final Answer: \( 448 \div 3 = 149 \) with a remainder of 1.
---
\[
\boxed{168, 114, 367, 191, 294, 78, 35, 149}
\]
---
Problem 1: \( 843 \div 5 \)
1. Divide: How many times does 5 go into 8?
- 5 goes into 8 once (since \( 5 \times 1 = 5 \)). Write 1 above the line.
2. Multiply: Multiply 5 by 1 to get 5. Write 5 below 8.
3. Subtract: Subtract 5 from 8 to get 3.
4. Bring down: Bring down the next digit (4) to make it 34.
5. Repeat: How many times does 5 go into 34?
- 5 goes into 34 six times (since \( 5 \times 6 = 30 \)). Write 6 above the line.
6. Multiply: Multiply 5 by 6 to get 30. Write 30 below 34.
7. Subtract: Subtract 30 from 34 to get 4.
8. Bring down: Bring down the next digit (3) to make it 43.
9. Repeat: How many times does 5 go into 43?
- 5 goes into 43 eight times (since \( 5 \times 8 = 40 \)). Write 8 above the line.
10. Multiply: Multiply 5 by 8 to get 40. Write 40 below 43.
11. Subtract: Subtract 40 from 43 to get 3.
Final Answer: \( 843 \div 5 = 168 \) with a remainder of 3.
---
Problem 2: \( 343 \div 3 \)
1. Divide: How many times does 3 go into 3?
- 3 goes into 3 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
2. Multiply: Multiply 3 by 1 to get 3. Write 3 below 3.
3. Subtract: Subtract 3 from 3 to get 0.
4. Bring down: Bring down the next digit (4) to make it 4.
5. Repeat: How many times does 3 go into 4?
- 3 goes into 4 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
6. Multiply: Multiply 3 by 1 to get 3. Write 3 below 4.
7. Subtract: Subtract 3 from 4 to get 1.
8. Bring down: Bring down the next digit (3) to make it 13.
9. Repeat: How many times does 3 go into 13?
- 3 goes into 13 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
10. Multiply: Multiply 3 by 4 to get 12. Write 12 below 13.
11. Subtract: Subtract 12 from 13 to get 1.
Final Answer: \( 343 \div 3 = 114 \) with a remainder of 1.
---
Problem 3: \( 734 \div 2 \)
1. Divide: How many times does 2 go into 7?
- 2 goes into 7 three times (since \( 2 \times 3 = 6 \)). Write 3 above the line.
2. Multiply: Multiply 2 by 3 to get 6. Write 6 below 7.
3. Subtract: Subtract 6 from 7 to get 1.
4. Bring down: Bring down the next digit (3) to make it 13.
5. Repeat: How many times does 2 go into 13?
- 2 goes into 13 six times (since \( 2 \times 6 = 12 \)). Write 6 above the line.
6. Multiply: Multiply 2 by 6 to get 12. Write 12 below 13.
7. Subtract: Subtract 12 from 13 to get 1.
8. Bring down: Bring down the next digit (4) to make it 14.
9. Repeat: How many times does 2 go into 14?
- 2 goes into 14 seven times (since \( 2 \times 7 = 14 \)). Write 7 above the line.
10. Multiply: Multiply 2 by 7 to get 14. Write 14 below 14.
11. Subtract: Subtract 14 from 14 to get 0.
Final Answer: \( 734 \div 2 = 367 \) with no remainder.
---
Problem 4: \( 767 \div 4 \)
1. Divide: How many times does 4 go into 7?
- 4 goes into 7 once (since \( 4 \times 1 = 4 \)). Write 1 above the line.
2. Multiply: Multiply 4 by 1 to get 4. Write 4 below 7.
3. Subtract: Subtract 4 from 7 to get 3.
4. Bring down: Bring down the next digit (6) to make it 36.
5. Repeat: How many times does 4 go into 36?
- 4 goes into 36 nine times (since \( 4 \times 9 = 36 \)). Write 9 above the line.
6. Multiply: Multiply 4 by 9 to get 36. Write 36 below 36.
7. Subtract: Subtract 36 from 36 to get 0.
8. Bring down: Bring down the next digit (7) to make it 7.
9. Repeat: How many times does 4 go into 7?
- 4 goes into 7 once (since \( 4 \times 1 = 4 \)). Write 1 above the line.
10. Multiply: Multiply 4 by 1 to get 4. Write 4 below 7.
11. Subtract: Subtract 4 from 7 to get 3.
Final Answer: \( 767 \div 4 = 191 \) with a remainder of 3.
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Problem 5: \( 882 \div 3 \)
1. Divide: How many times does 3 go into 8?
- 3 goes into 8 two times (since \( 3 \times 2 = 6 \)). Write 2 above the line.
2. Multiply: Multiply 3 by 2 to get 6. Write 6 below 8.
3. Subtract: Subtract 6 from 8 to get 2.
4. Bring down: Bring down the next digit (8) to make it 28.
5. Repeat: How many times does 3 go into 28?
- 3 goes into 28 nine times (since \( 3 \times 9 = 27 \)). Write 9 above the line.
6. Multiply: Multiply 3 by 9 to get 27. Write 27 below 28.
7. Subtract: Subtract 27 from 28 to get 1.
8. Bring down: Bring down the next digit (2) to make it 12.
9. Repeat: How many times does 3 go into 12?
- 3 goes into 12 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
10. Multiply: Multiply 3 by 4 to get 12. Write 12 below 12.
11. Subtract: Subtract 12 from 12 to get 0.
Final Answer: \( 882 \div 3 = 294 \) with no remainder.
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Problem 6: \( 157 \div 2 \)
1. Divide: How many times does 2 go into 1?
- 2 does not go into 1. So, write 0 above the line and bring down the next digit (5) to make it 15.
2. Repeat: How many times does 2 go into 15?
- 2 goes into 15 seven times (since \( 2 \times 7 = 14 \)). Write 7 above the line.
3. Multiply: Multiply 2 by 7 to get 14. Write 14 below 15.
4. Subtract: Subtract 14 from 15 to get 1.
5. Bring down: Bring down the next digit (7) to make it 17.
6. Repeat: How many times does 2 go into 17?
- 2 goes into 17 eight times (since \( 2 \times 8 = 16 \)). Write 8 above the line.
7. Multiply: Multiply 2 by 8 to get 16. Write 16 below 17.
8. Subtract: Subtract 16 from 17 to get 1.
Final Answer: \( 157 \div 2 = 78 \) with a remainder of 1.
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Problem 7: \( 283 \div 8 \)
1. Divide: How many times does 8 go into 2?
- 8 does not go into 2. So, write 0 above the line and bring down the next digit (8) to make it 28.
2. Repeat: How many times does 8 go into 28?
- 8 goes into 28 three times (since \( 8 \times 3 = 24 \)). Write 3 above the line.
3. Multiply: Multiply 8 by 3 to get 24. Write 24 below 28.
4. Subtract: Subtract 24 from 28 to get 4.
5. Bring down: Bring down the next digit (3) to make it 43.
6. Repeat: How many times does 8 go into 43?
- 8 goes into 43 five times (since \( 8 \times 5 = 40 \)). Write 5 above the line.
7. Multiply: Multiply 8 by 5 to get 40. Write 40 below 43.
8. Subtract: Subtract 40 from 43 to get 3.
Final Answer: \( 283 \div 8 = 35 \) with a remainder of 3.
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Problem 8: \( 448 \div 3 \)
1. Divide: How many times does 3 go into 4?
- 3 goes into 4 once (since \( 3 \times 1 = 3 \)). Write 1 above the line.
2. Multiply: Multiply 3 by 1 to get 3. Write 3 below 4.
3. Subtract: Subtract 3 from 4 to get 1.
4. Bring down: Bring down the next digit (4) to make it 14.
5. Repeat: How many times does 3 go into 14?
- 3 goes into 14 four times (since \( 3 \times 4 = 12 \)). Write 4 above the line.
6. Multiply: Multiply 3 by 4 to get 12. Write 12 below 14.
7. Subtract: Subtract 12 from 14 to get 2.
8. Bring down: Bring down the next digit (8) to make it 28.
9. Repeat: How many times does 3 go into 28?
- 3 goes into 28 nine times (since \( 3 \times 9 = 27 \)). Write 9 above the line.
10. Multiply: Multiply 3 by 9 to get 27. Write 27 below 28.
11. Subtract: Subtract 27 from 28 to get 1.
Final Answer: \( 448 \div 3 = 149 \) with a remainder of 1.
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Final Answers
\[
\boxed{168, 114, 367, 191, 294, 78, 35, 149}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit division worksheet.
