Division - 3 Digits by 1 Digit Sheet 4: Practice dividing three-digit numbers by single-digit numbers.

Problem: Division of 3-Digit Numbers by 1-Digit Numbers

The task is to divide each of the given 3-digit numbers by a single-digit divisor. Let's solve each problem step by step.

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#### 1) \( 8 \div 423 \)

- Dividend: 423
- Divisor: 8

Step-by-Step Solution:
1. First Digit:
- How many times does 8 go into 4? (Not possible, so consider the first two digits: 42)
- How many times does 8 go into 42?
\( 8 \times 5 = 40 \) (closest without exceeding 42)
Write 5 above the line.
- Subtract: \( 42 - 40 = 2 \)

2. Bring Down Next Digit:
- Bring down the next digit (3), making it 23.
- How many times does 8 go into 23?
\( 8 \times 2 = 16 \) (closest without exceeding 23)
Write 2 above the line.
- Subtract: \( 23 - 16 = 7 \)

3. Final Answer:
- Quotient: 52
- Remainder: 7

Answer: \( 52 \text{ R } 7 \)

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#### 2) \( 6 \div 674 \)

- Dividend: 674
- Divisor: 6

Step-by-Step Solution:
1. First Digit:
- How many times does 6 go into 6?
\( 6 \times 1 = 6 \)
Write 1 above the line.
- Subtract: \( 6 - 6 = 0 \)

2. Bring Down Next Digit:
- Bring down the next digit (7), making it 7.
- How many times does 6 go into 7?
\( 6 \times 1 = 6 \)
Write 1 above the line.
- Subtract: \( 7 - 6 = 1 \)

3. Bring Down Next Digit:
- Bring down the next digit (4), making it 14.
- How many times does 6 go into 14?
\( 6 \times 2 = 12 \)
Write 2 above the line.
- Subtract: \( 14 - 12 = 2 \)

4. Final Answer:
- Quotient: 112
- Remainder: 2

Answer: \( 112 \text{ R } 2 \)

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#### 3) \( 5 \div 954 \)

- Dividend: 954
- Divisor: 5

Step-by-Step Solution:
1. First Digit:
- How many times does 5 go into 9?
\( 5 \times 1 = 5 \)
Write 1 above the line.
- Subtract: \( 9 - 5 = 4 \)

2. Bring Down Next Digit:
- Bring down the next digit (5), making it 45.
- How many times does 5 go into 45?
\( 5 \times 9 = 45 \)
Write 9 above the line.
- Subtract: \( 45 - 45 = 0 \)

3. Bring Down Next Digit:
- Bring down the next digit (4), making it 4.
- How many times does 5 go into 4?
\( 5 \times 0 = 0 \)
Write 0 above the line.
- Subtract: \( 4 - 0 = 4 \)

4. Final Answer:
- Quotient: 190
- Remainder: 4

Answer: \( 190 \text{ R } 4 \)

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#### 4) \( 7 \div 816 \)

- Dividend: 816
- Divisor: 7

Step-by-Step Solution:
1. First Digit:
- How many times does 7 go into 8?
\( 7 \times 1 = 7 \)
Write 1 above the line.
- Subtract: \( 8 - 7 = 1 \)

2. Bring Down Next Digit:
- Bring down the next digit (1), making it 11.
- How many times does 7 go into 11?
\( 7 \times 1 = 7 \)
Write 1 above the line.
- Subtract: \( 11 - 7 = 4 \)

3. Bring Down Next Digit:
- Bring down the next digit (6), making it 46.
- How many times does 7 go into 46?
\( 7 \times 6 = 42 \)
Write 6 above the line.
- Subtract: \( 46 - 42 = 4 \)

4. Final Answer:
- Quotient: 116
- Remainder: 4

Answer: \( 116 \text{ R } 4 \)

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#### 5) \( 4 \div 562 \)

- Dividend: 562
- Divisor: 4

Step-by-Step Solution:
1. First Digit:
- How many times does 4 go into 5?
\( 4 \times 1 = 4 \)
Write 1 above the line.
- Subtract: \( 5 - 4 = 1 \)

2. Bring Down Next Digit:
- Bring down the next digit (6), making it 16.
- How many times does 4 go into 16?
\( 4 \times 4 = 16 \)
Write 4 above the line.
- Subtract: \( 16 - 16 = 0 \)

3. Bring Down Next Digit:
- Bring down the next digit (2), making it 2.
- How many times does 4 go into 2?
\( 4 \times 0 = 0 \)
Write 0 above the line.
- Subtract: \( 2 - 0 = 2 \)

4. Final Answer:
- Quotient: 140
- Remainder: 2

Answer: \( 140 \text{ R } 2 \)

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#### 6) \( 9 \div 785 \)

- Dividend: 785
- Divisor: 9

Step-by-Step Solution:
1. First Digit:
- How many times does 9 go into 7? (Not possible, so consider the first two digits: 78)
- How many times does 9 go into 78?
\( 9 \times 8 = 72 \)
Write 8 above the line.
- Subtract: \( 78 - 72 = 6 \)

2. Bring Down Next Digit:
- Bring down the next digit (5), making it 65.
- How many times does 9 go into 65?
\( 9 \times 7 = 63 \)
Write 7 above the line.
- Subtract: \( 65 - 63 = 2 \)

3. Final Answer:
- Quotient: 87
- Remainder: 2

Answer: \( 87 \text{ R } 2 \)

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#### 7) \( 3 \div 908 \)

- Dividend: 908
- Divisor: 3

Step-by-Step Solution:
1. First Digit:
- How many times does 3 go into 9?
\( 3 \times 3 = 9 \)
Write 3 above the line.
- Subtract: \( 9 - 9 = 0 \)

2. Bring Down Next Digit:
- Bring down the next digit (0), making it 0.
- How many times does 3 go into 0?
\( 3 \times 0 = 0 \)
Write 0 above the line.
- Subtract: \( 0 - 0 = 0 \)

3. Bring Down Next Digit:
- Bring down the next digit (8), making it 8.
- How many times does 3 go into 8?
\( 3 \times 2 = 6 \)
Write 2 above the line.
- Subtract: \( 8 - 6 = 2 \)

4. Final Answer:
- Quotient: 302
- Remainder: 2

Answer: \( 302 \text{ R } 2 \)

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#### 8) \( 8 \div 585 \)

- Dividend: 585
- Divisor: 8

Step-by-Step Solution:
1. First Digit:
- How many times does 8 go into 5? (Not possible, so consider the first two digits: 58)
- How many times does 8 go into 58?
\( 8 \times 7 = 56 \)
Write 7 above the line.
- Subtract: \( 58 - 56 = 2 \)

2. Bring Down Next Digit:
- Bring down the next digit (5), making it 25.
- How many times does 8 go into 25?
\( 8 \times 3 = 24 \)
Write 3 above the line.
- Subtract: \( 25 - 24 = 1 \)

3. Final Answer:
- Quotient: 73
- Remainder: 1

Answer: \( 73 \text{ R } 1 \)

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#### 9) \( 7 \div 499 \)

- Dividend: 499
- Divisor: 7

Step-by-Step Solution:
1. First Digit:
- How many times does 7 go into 4? (Not possible, so consider the first two digits: 49)
- How many times does 7 go into 49?
\( 7 \times 7 = 49 \)
Write 7 above the line.
- Subtract: \( 49 - 49 = 0 \)

2. Bring Down Next Digit:
- Bring down the next digit (9), making it 9.
- How many times does 7 go into 9?
\( 7 \times 1 = 7 \)
Write 1 above the line.
- Subtract: \( 9 - 7 = 2 \)

3. Final Answer:
- Quotient: 71
- Remainder: 2

Answer: \( 71 \text{ R } 2 \)

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#### 10) \( 9 \div 586 \)

- Dividend: 586
- Divisor: 9

Step-by-Step Solution:
1. First Digit:
- How many times does 9 go into 5? (Not possible, so consider the first two digits: 58)
- How many times does 9 go into 58?
\( 9 \times 6 = 54 \)
Write 6 above the line.
- Subtract: \( 58 - 54 = 4 \)

2. Bring Down Next Digit:
- Bring down the next digit (6), making it 46.
- How many times does 9 go into 46?
\( 9 \times 5 = 45 \)
Write 5 above the line.
- Subtract: \( 46 - 45 = 1 \)

3. Final Answer:
- Quotient: 65
- Remainder: 1

Answer: \( 65 \text{ R } 1 \)

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#### 11) \( 6 \div 318 \)

- Dividend: 318
- Divisor: 6

Step-by-Step Solution:
1. First Digit:
- How many times does 6 go into 3? (Not possible, so consider the first two digits: 31)
- How many times does 6 go into 31?
\( 6 \times 5 = 30 \)
Write 5 above the line.
- Subtract: \( 31 - 30 = 1 \)

2. Bring Down Next Digit:
- Bring down the next digit (8), making it 18.
- How many times does 6 go into 18?
\( 6 \times 3 = 18 \)
Write 3 above the line.
- Subtract: \( 18 - 18 = 0 \)

3. Final Answer:
- Quotient: 53
- Remainder: 0

Answer: \( 53 \text{ R } 0 \)

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#### 12) \( 9 \div 878 \)

- Dividend: 878
- Divisor: 9

Step-by-Step Solution:
1. First Digit:
- How many times does 9 go into 8? (Not possible, so consider the first two digits: 87)
- How many times does 9 go into 87?
\( 9 \times 9 = 81 \)
Write 9 above the line.
- Subtract: \( 87 - 81 = 6 \)

2. Bring Down Next Digit:
- Bring down the next digit (8), making it 68.
- How many times does 9 go into 68?
\( 9 \times 7 = 63 \)
Write 7 above the line.
- Subtract: \( 68 - 63 = 5 \)

3. Final Answer:
- Quotient: 97
- Remainder: 5

Answer: \( 97 \text{ R } 5 \)

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Final Answers:

1. \( 52 \text{ R } 7 \)
2. \( 112 \text{ R } 2 \)
3. \( 190 \text{ R } 4 \)
4. \( 116 \text{ R } 4 \)
5. \( 140 \text{ R } 2 \)
6. \( 87 \text{ R } 2 \)
7. \( 302 \text{ R } 2 \)
8. \( 73 \text{ R } 1 \)
9. \( 71 \text{ R } 2 \)
10. \( 65 \text{ R } 1 \)
11. \( 53 \text{ R } 0 \)
12. \( 97 \text{ R } 5 \)

\[
\boxed{
\begin{array}{l}
1. 52 \text{ R } 7 \\
2. 112 \text{ R } 2 \\
3. 190 \text{ R } 4 \\
4. 116 \text{ R } 4 \\
5. 140 \text{ R } 2 \\
6. 87 \text{ R } 2 \\
7. 302 \text{ R } 2 \\
8. 73 \text{ R } 1 \\
9. 71 \text{ R } 2 \\
10. 65 \text{ R } 1 \\
11. 53 \text{ R } 0 \\
12. 97 \text{ R } 5 \\
\end{array}
}
\]