Long division 3 digits by 1 digit - worksheet no.3 | Worksheets ... - Free Printable

The worksheet provided involves solving long division problems where a 3-digit number is divided by a 1-digit number. Below, I will solve each problem step-by-step and explain the process.

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Problem 1: \( 3 \longdiv{364} \)

1. Divide: How many times does 3 go into 3?
- \( 3 \div 3 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 3:
- \( 1 \times 3 = 3 \). Write 3 below the 3.
3. Subtract: Subtract 3 from 3:
- \( 3 - 3 = 0 \).
4. Bring down: Bring down the next digit (6).
5. Repeat: How many times does 3 go into 6?
- \( 6 \div 3 = 2 \). Write 2 above the division bar.
6. Multiply: Multiply 2 by 3:
- \( 2 \times 3 = 6 \). Write 6 below the 6.
7. Subtract: Subtract 6 from 6:
- \( 6 - 6 = 0 \).
8. Bring down: Bring down the next digit (4).
9. Repeat: How many times does 3 go into 4?
- \( 4 \div 3 = 1 \). Write 1 above the division bar.
10. Multiply: Multiply 1 by 3:
- \( 1 \times 3 = 3 \). Write 3 below the 4.
11. Subtract: Subtract 3 from 4:
- \( 4 - 3 = 1 \).

Final Answer: \( 121 \) with a remainder of \( 1 \).

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Problem 2: \( 5 \longdiv{529} \)

1. Divide: How many times does 5 go into 5?
- \( 5 \div 5 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 5:
- \( 1 \times 5 = 5 \). Write 5 below the 5.
3. Subtract: Subtract 5 from 5:
- \( 5 - 5 = 0 \).
4. Bring down: Bring down the next digit (2).
5. Repeat: How many times does 5 go into 2?
- \( 2 \div 5 = 0 \). Write 0 above the division bar.
6. Multiply: Multiply 0 by 5:
- \( 0 \times 5 = 0 \). Write 0 below the 2.
7. Subtract: Subtract 0 from 2:
- \( 2 - 0 = 2 \).
8. Bring down: Bring down the next digit (9).
9. Repeat: How many times does 5 go into 29?
- \( 29 \div 5 = 5 \). Write 5 above the division bar.
10. Multiply: Multiply 5 by 5:
- \( 5 \times 5 = 25 \). Write 25 below the 29.
11. Subtract: Subtract 25 from 29:
- \( 29 - 25 = 4 \).

Final Answer: \( 105 \) with a remainder of \( 4 \).

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Problem 3: \( 3 \longdiv{908} \)

1. Divide: How many times does 3 go into 9?
- \( 9 \div 3 = 3 \). Write 3 above the division bar.
2. Multiply: Multiply 3 by 3:
- \( 3 \times 3 = 9 \). Write 9 below the 9.
3. Subtract: Subtract 9 from 9:
- \( 9 - 9 = 0 \).
4. Bring down: Bring down the next digit (0).
5. Repeat: How many times does 3 go into 0?
- \( 0 \div 3 = 0 \). Write 0 above the division bar.
6. Multiply: Multiply 0 by 3:
- \( 0 \times 3 = 0 \). Write 0 below the 0.
7. Subtract: Subtract 0 from 0:
- \( 0 - 0 = 0 \).
8. Bring down: Bring down the next digit (8).
9. Repeat: How many times does 3 go into 8?
- \( 8 \div 3 = 2 \). Write 2 above the division bar.
10. Multiply: Multiply 2 by 3:
- \( 2 \times 3 = 6 \). Write 6 below the 8.
11. Subtract: Subtract 6 from 8:
- \( 8 - 6 = 2 \).

Final Answer: \( 302 \) with a remainder of \( 2 \).

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Problem 4: \( 6 \longdiv{107} \)

1. Divide: How many times does 6 go into 10?
- \( 10 \div 6 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 6:
- \( 1 \times 6 = 6 \). Write 6 below the 10.
3. Subtract: Subtract 6 from 10:
- \( 10 - 6 = 4 \).
4. Bring down: Bring down the next digit (7).
5. Repeat: How many times does 6 go into 47?
- \( 47 \div 6 = 7 \). Write 7 above the division bar.
6. Multiply: Multiply 7 by 6:
- \( 7 \times 6 = 42 \). Write 42 below the 47.
7. Subtract: Subtract 42 from 47:
- \( 47 - 42 = 5 \).

Final Answer: \( 17 \) with a remainder of \( 5 \).

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Problem 5: \( 5 \longdiv{714} \)

1. Divide: How many times does 5 go into 7?
- \( 7 \div 5 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 5:
- \( 1 \times 5 = 5 \). Write 5 below the 7.
3. Subtract: Subtract 5 from 7:
- \( 7 - 5 = 2 \).
4. Bring down: Bring down the next digit (1).
5. Repeat: How many times does 5 go into 21?
- \( 21 \div 5 = 4 \). Write 4 above the division bar.
6. Multiply: Multiply 4 by 5:
- \( 4 \times 5 = 20 \). Write 20 below the 21.
7. Subtract: Subtract 20 from 21:
- \( 21 - 20 = 1 \).
8. Bring down: Bring down the next digit (4).
9. Repeat: How many times does 5 go into 14?
- \( 14 \div 5 = 2 \). Write 2 above the division bar.
10. Multiply: Multiply 2 by 5:
- \( 2 \times 5 = 10 \). Write 10 below the 14.
11. Subtract: Subtract 10 from 14:
- \( 14 - 10 = 4 \).

Final Answer: \( 142 \) with a remainder of \( 4 \).

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Problem 6: \( 6 \longdiv{898} \)

1. Divide: How many times does 6 go into 8?
- \( 8 \div 6 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 6:
- \( 1 \times 6 = 6 \). Write 6 below the 8.
3. Subtract: Subtract 6 from 8:
- \( 8 - 6 = 2 \).
4. Bring down: Bring down the next digit (9).
5. Repeat: How many times does 6 go into 29?
- \( 29 \div 6 = 4 \). Write 4 above the division bar.
6. Multiply: Multiply 4 by 6:
- \( 4 \times 6 = 24 \). Write 24 below the 29.
7. Subtract: Subtract 24 from 29:
- \( 29 - 24 = 5 \).
8. Bring down: Bring down the next digit (8).
9. Repeat: How many times does 6 go into 58?
- \( 58 \div 6 = 9 \). Write 9 above the division bar.
10. Multiply: Multiply 9 by 6:
- \( 9 \times 6 = 54 \). Write 54 below the 58.
11. Subtract: Subtract 54 from 58:
- \( 58 - 54 = 4 \).

Final Answer: \( 149 \) with a remainder of \( 4 \).

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Problem 7: \( 8 \longdiv{593} \)

1. Divide: How many times does 8 go into 5?
- \( 5 \div 8 = 0 \). Write 0 above the division bar.
2. Multiply: Multiply 0 by 8:
- \( 0 \times 8 = 0 \). Write 0 below the 5.
3. Subtract: Subtract 0 from 5:
- \( 5 - 0 = 5 \).
4. Bring down: Bring down the next digit (9).
5. Repeat: How many times does 8 go into 59?
- \( 59 \div 8 = 7 \). Write 7 above the division bar.
6. Multiply: Multiply 7 by 8:
- \( 7 \times 8 = 56 \). Write 56 below the 59.
7. Subtract: Subtract 56 from 59:
- \( 59 - 56 = 3 \).
8. Bring down: Bring down the next digit (3).
9. Repeat: How many times does 8 go into 33?
- \( 33 \div 8 = 4 \). Write 4 above the division bar.
10. Multiply: Multiply 4 by 8:
- \( 4 \times 8 = 32 \). Write 32 below the 33.
11. Subtract: Subtract 32 from 33:
- \( 33 - 32 = 1 \).

Final Answer: \( 74 \) with a remainder of \( 1 \).

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Problem 8: \( 8 \longdiv{449} \)

1. Divide: How many times does 8 go into 4?
- \( 4 \div 8 = 0 \). Write 0 above the division bar.
2. Multiply: Multiply 0 by 8:
- \( 0 \times 8 = 0 \). Write 0 below the 4.
3. Subtract: Subtract 0 from 4:
- \( 4 - 0 = 4 \).
4. Bring down: Bring down the next digit (4).
5. Repeat: How many times does 8 go into 44?
- \( 44 \div 8 = 5 \). Write 5 above the division bar.
6. Multiply: Multiply 5 by 8:
- \( 5 \times 8 = 40 \). Write 40 below the 44.
7. Subtract: Subtract 40 from 44:
- \( 44 - 40 = 4 \).
8. Bring down: Bring down the next digit (9).
9. Repeat: How many times does 8 go into 49?
- \( 49 \div 8 = 6 \). Write 6 above the division bar.
10. Multiply: Multiply 6 by 8:
- \( 6 \times 8 = 48 \). Write 48 below the 49.
11. Subtract: Subtract 48 from 49:
- \( 49 - 48 = 1 \).

Final Answer: \( 56 \) with a remainder of \( 1 \).

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Problem 9: \( 7 \longdiv{617} \)

1. Divide: How many times does 7 go into 6?
- \( 6 \div 7 = 0 \). Write 0 above the division bar.
2. Multiply: Multiply 0 by 7:
- \( 0 \times 7 = 0 \). Write 0 below the 6.
3. Subtract: Subtract 0 from 6:
- \( 6 - 0 = 6 \).
4. Bring down: Bring down the next digit (1).
5. Repeat: How many times does 7 go into 61?
- \( 61 \div 7 = 8 \). Write 8 above the division bar.
6. Multiply: Multiply 8 by 7:
- \( 8 \times 7 = 56 \). Write 56 below the 61.
7. Subtract: Subtract 56 from 61:
- \( 61 - 56 = 5 \).
8. Bring down: Bring down the next digit (7).
9. Repeat: How many times does 7 go into 57?
- \( 57 \div 7 = 8 \). Write 8 above the division bar.
10. Multiply: Multiply 8 by 7:
- \( 8 \times 7 = 56 \). Write 56 below the 57.
11. Subtract: Subtract 56 from 57:
- \( 57 - 56 = 1 \).

Final Answer: \( 88 \) with a remainder of \( 1 \).

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Problem 10: \( 7 \longdiv{947} \)

1. Divide: How many times does 7 go into 9?
- \( 9 \div 7 = 1 \). Write 1 above the division bar.
2. Multiply: Multiply 1 by 7:
- \( 1 \times 7 = 7 \). Write 7 below the 9.
3. Subtract: Subtract 7 from 9:
- \( 9 - 7 = 2 \).
4. Bring down: Bring down the next digit (4).
5. Repeat: How many times does 7 go into 24?
- \( 24 \div 7 = 3 \). Write 3 above the division bar.
6. Multiply: Multiply 3 by 7:
- \( 3 \times 7 = 21 \). Write 21 below the 24.
7. Subtract: Subtract 21 from 24:
- \( 24 - 21 = 3 \).
8. Bring down: Bring down the next digit (7).
9. Repeat: How many times does 7 go into 37?
- \( 37 \div 7 = 5 \). Write 5 above the division bar.
10. Multiply: Multiply 5 by 7:
- \( 5 \times 7 = 35 \). Write 35 below the 37.
11. Subtract: Subtract 35 from 37:
- \( 37 - 35 = 2 \).

Final Answer: \( 135 \) with a remainder of \( 2 \).

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Problem 11: \( 3 \longdiv{992} \)

1. Divide: How many times does 3 go into 9?
- \( 9 \div 3 = 3 \). Write 3 above the division bar.
2. Multiply: Multiply 3 by 3:
- \( 3 \times 3 = 9 \). Write 9 below the 9.
3. Subtract: Subtract 9 from 9:
- \( 9 - 9 = 0 \).
4. Bring down: Bring down the next digit (9).
5. Repeat: How many times does 3 go into 9?
- \( 9 \div 3 = 3 \). Write 3 above the division bar.
6. Multiply: Multiply 3 by 3:
- \( 3 \times 3 = 9 \). Write 9 below the 9.
7. Subtract: Subtract 9 from 9:
- \( 9 - 9 = 0 \).
8. Bring down: Bring down the next digit (2).
9. Repeat: How many times does 3 go into 2?
- \( 2 \div 3 = 0 \). Write 0 above the division bar.
10. Multiply: Multiply 0 by 3:
- \( 0 \times 3 = 0 \). Write 0 below the 2.
11. Subtract: Subtract 0 from 2:
- \( 2 - 0 = 2 \).

Final Answer: \( 330 \) with a remainder of \( 2 \).

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Problem 12: \( 5 \longdiv{201} \)

1. Divide: How many times does 5 go into 2?
- \( 2 \div 5 = 0 \). Write 0 above the division bar.
2. Multiply: Multiply 0 by 5:
- \( 0 \times 5 = 0 \). Write 0 below the 2.
3. Subtract: Subtract 0 from 2:
- \( 2 - 0 = 2 \).
4. Bring down: Bring down the next digit (0).
5. Repeat: How many times does 5 go into 20?
- \( 20 \div 5 = 4 \). Write 4 above the division bar.
6. Multiply: Multiply 4 by 5:
- \( 4 \times 5 = 20 \). Write 20 below the 20.
7. Subtract: Subtract 20 from 20:
- \( 20 - 20 = 0 \).
8. Bring down: Bring down the next digit (1).
9. Repeat: How many times does 5 go into 1?
- \( 1 \div 5 = 0 \). Write 0 above the division bar.
10. Multiply: Multiply 0 by 5:
- \( 0 \times 5 = 0 \). Write 0 below the 1.
11. Subtract: Subtract 0 from 1:
- \( 1 - 0 = 1 \).

Final Answer: \( 40 \) with a remainder of \( 1 \).

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Final Answers for All Problems

1. \( 121 \) R \( 1 \)
2. \( 105 \) R \( 4 \)
3. \( 302 \) R \( 2 \)
4. \( 17 \) R \( 5 \)
5. \( 142 \) R \( 4 \)
6. \( 149 \) R \( 4 \)
7. \( 74 \) R \( 1 \)
8. \( 56 \) R \( 1 \)
9. \( 88 \) R \( 1 \)
10. \( 135 \) R \( 2 \)
11. \( 330 \) R \( 2 \)
12. \( 40 \) R \( 1 \)

\[
\boxed{
\begin{array}{ll}
1. & 121 \text{ R } 1 \\
2. & 105 \text{ R } 4 \\
3. & 302 \text{ R } 2 \\
4. & 17 \text{ R } 5 \\
5. & 142 \text{ R } 4 \\
6. & 149 \text{ R } 4 \\
7. & 74 \text{ R } 1 \\
8. & 56 \text{ R } 1 \\
9. & 88 \text{ R } 1 \\
10. & 135 \text{ R } 2 \\
11. & 330 \text{ R } 2 \\
12. & 40 \text{ R } 1 \\
\end{array}
}
\]