Dividing Various Decimal Places by a Whole Number (A) - Free Printable

Problem: Dividing Decimals by Whole Numbers

The task is to solve each division problem where a decimal number is divided by a whole number. Let's go through each problem step by step.

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#### 1. \( 9 \div 6.5 \)

To divide \( 6.5 \) by \( 9 \):

1. Set up the division: \( 6.5 \div 9 \).
2. Since \( 6.5 \) is less than \( 9 \), the quotient will be less than 1.
3. Add a decimal point and zeros to \( 6.5 \): \( 6.50 \).
4. Perform the division:
- \( 9 \) goes into \( 65 \) (from \( 6.50 \)) \( 7 \) times because \( 9 \times 7 = 63 \).
- Subtract \( 63 \) from \( 65 \) to get a remainder of \( 2 \).
- Bring down the next \( 0 \) to make it \( 20 \).
- \( 9 \) goes into \( 20 \) \( 2 \) times because \( 9 \times 2 = 18 \).
- Subtract \( 18 \) from \( 20 \) to get a remainder of \( 2 \).

So, \( 6.5 \div 9 = 0.72 \) (repeating).

Answer: \( 0.72 \)

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#### 2. \( 6 \div 9.29 \)

To divide \( 9.29 \) by \( 6 \):

1. Set up the division: \( 9.29 \div 6 \).
2. Perform the division:
- \( 6 \) goes into \( 9 \) \( 1 \) time because \( 6 \times 1 = 6 \).
- Subtract \( 6 \) from \( 9 \) to get a remainder of \( 3 \).
- Bring down the next digit \( 2 \) to make it \( 32 \).
- \( 6 \) goes into \( 32 \) \( 5 \) times because \( 6 \times 5 = 30 \).
- Subtract \( 30 \) from \( 32 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 9 \) to make it \( 29 \).
- \( 6 \) goes into \( 29 \) \( 4 \) times because \( 6 \times 4 = 24 \).
- Subtract \( 24 \) from \( 29 \) to get a remainder of \( 5 \).

So, \( 9.29 \div 6 = 1.54833\ldots \) (repeating).

Answer: \( 1.548 \) (rounded to three decimal places)

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#### 3. \( 5 \div 5.8492 \)

To divide \( 5.8492 \) by \( 5 \):

1. Set up the division: \( 5.8492 \div 5 \).
2. Perform the division:
- \( 5 \) goes into \( 5 \) \( 1 \) time because \( 5 \times 1 = 5 \).
- Subtract \( 5 \) from \( 5 \) to get a remainder of \( 0 \).
- Bring down the next digit \( 8 \) to make it \( 08 \).
- \( 5 \) goes into \( 8 \) \( 1 \) time because \( 5 \times 1 = 5 \).
- Subtract \( 5 \) from \( 8 \) to get a remainder of \( 3 \).
- Bring down the next digit \( 4 \) to make it \( 34 \).
- \( 5 \) goes into \( 34 \) \( 6 \) times because \( 5 \times 6 = 30 \).
- Subtract \( 30 \) from \( 34 \) to get a remainder of \( 4 \).
- Bring down the next digit \( 9 \) to make it \( 49 \).
- \( 5 \) goes into \( 49 \) \( 9 \) times because \( 5 \times 9 = 45 \).
- Subtract \( 45 \) from \( 49 \) to get a remainder of \( 4 \).
- Bring down the next digit \( 2 \) to make it \( 42 \).
- \( 5 \) goes into \( 42 \) \( 8 \) times because \( 5 \times 8 = 40 \).
- Subtract \( 40 \) from \( 42 \) to get a remainder of \( 2 \).

So, \( 5.8492 \div 5 = 1.16984 \).

Answer: \( 1.16984 \)

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#### 4. \( 2 \div 0.5 \)

To divide \( 0.5 \) by \( 2 \):

1. Set up the division: \( 0.5 \div 2 \).
2. Perform the division:
- \( 2 \) goes into \( 0.5 \) \( 0.25 \) times because \( 2 \times 0.25 = 0.5 \).

So, \( 0.5 \div 2 = 0.25 \).

Answer: \( 0.25 \)

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#### 5. \( 4 \div 1.5 \)

To divide \( 1.5 \) by \( 4 \):

1. Set up the division: \( 1.5 \div 4 \).
2. Perform the division:
- \( 4 \) goes into \( 1.5 \) \( 0.375 \) times because \( 4 \times 0.375 = 1.5 \).

So, \( 1.5 \div 4 = 0.375 \).

Answer: \( 0.375 \)

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#### 6. \( 9 \div 3.6297 \)

To divide \( 3.6297 \) by \( 9 \):

1. Set up the division: \( 3.6297 \div 9 \).
2. Perform the division:
- \( 9 \) goes into \( 36 \) (from \( 3.6297 \)) \( 4 \) times because \( 9 \times 4 = 36 \).
- Subtract \( 36 \) from \( 36 \) to get a remainder of \( 0 \).
- Bring down the next digit \( 2 \) to make it \( 02 \).
- \( 9 \) goes into \( 2 \) \( 0 \) times.
- Bring down the next digit \( 9 \) to make it \( 29 \).
- \( 9 \) goes into \( 29 \) \( 3 \) times because \( 9 \times 3 = 27 \).
- Subtract \( 27 \) from \( 29 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 7 \) to make it \( 27 \).
- \( 9 \) goes into \( 27 \) \( 3 \) times because \( 9 \times 3 = 27 \).
- Subtract \( 27 \) from \( 27 \) to get a remainder of \( 0 \).

So, \( 3.6297 \div 9 = 0.4033 \).

Answer: \( 0.4033 \)

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#### 7. \( 7 \div 1.9 \)

To divide \( 1.9 \) by \( 7 \):

1. Set up the division: \( 1.9 \div 7 \).
2. Perform the division:
- \( 7 \) goes into \( 19 \) (from \( 1.9 \)) \( 2 \) times because \( 7 \times 2 = 14 \).
- Subtract \( 14 \) from \( 19 \) to get a remainder of \( 5 \).
- Bring down the next digit \( 0 \) to make it \( 50 \).
- \( 7 \) goes into \( 50 \) \( 7 \) times because \( 7 \times 7 = 49 \).
- Subtract \( 49 \) from \( 50 \) to get a remainder of \( 1 \).

So, \( 1.9 \div 7 = 0.27142857\ldots \) (repeating).

Answer: \( 0.271 \) (rounded to three decimal places)

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#### 8. \( 3 \div 5.67 \)

To divide \( 5.67 \) by \( 3 \):

1. Set up the division: \( 5.67 \div 3 \).
2. Perform the division:
- \( 3 \) goes into \( 5 \) \( 1 \) time because \( 3 \times 1 = 3 \).
- Subtract \( 3 \) from \( 5 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 6 \) to make it \( 26 \).
- \( 3 \) goes into \( 26 \) \( 8 \) times because \( 3 \times 8 = 24 \).
- Subtract \( 24 \) from \( 26 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 7 \) to make it \( 27 \).
- \( 3 \) goes into \( 27 \) \( 9 \) times because \( 3 \times 9 = 27 \).
- Subtract \( 27 \) from \( 27 \) to get a remainder of \( 0 \).

So, \( 5.67 \div 3 = 1.89 \).

Answer: \( 1.89 \)

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#### 9. \( 2 \div 0.465 \)

To divide \( 0.465 \) by \( 2 \):

1. Set up the division: \( 0.465 \div 2 \).
2. Perform the division:
- \( 2 \) goes into \( 0.465 \) \( 0.2325 \) times because \( 2 \times 0.2325 = 0.465 \).

So, \( 0.465 \div 2 = 0.2325 \).

Answer: \( 0.2325 \)

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#### 10. \( 6 \div 8.12 \)

To divide \( 8.12 \) by \( 6 \):

1. Set up the division: \( 8.12 \div 6 \).
2. Perform the division:
- \( 6 \) goes into \( 8 \) \( 1 \) time because \( 6 \times 1 = 6 \).
- Subtract \( 6 \) from \( 8 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 1 \) to make it \( 21 \).
- \( 6 \) goes into \( 21 \) \( 3 \) times because \( 6 \times 3 = 18 \).
- Subtract \( 18 \) from \( 21 \) to get a remainder of \( 3 \).
- Bring down the next digit \( 2 \) to make it \( 32 \).
- \( 6 \) goes into \( 32 \) \( 5 \) times because \( 6 \times 5 = 30 \).
- Subtract \( 30 \) from \( 32 \) to get a remainder of \( 2 \).

So, \( 8.12 \div 6 = 1.35333\ldots \) (repeating).

Answer: \( 1.353 \) (rounded to three decimal places)

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#### 11. \( 7 \div 4.73 \)

To divide \( 4.73 \) by \( 7 \):

1. Set up the division: \( 4.73 \div 7 \).
2. Perform the division:
- \( 7 \) goes into \( 47 \) (from \( 4.73 \)) \( 6 \) times because \( 7 \times 6 = 42 \).
- Subtract \( 42 \) from \( 47 \) to get a remainder of \( 5 \).
- Bring down the next digit \( 3 \) to make it \( 53 \).
- \( 7 \) goes into \( 53 \) \( 7 \) times because \( 7 \times 7 = 49 \).
- Subtract \( 49 \) from \( 53 \) to get a remainder of \( 4 \).

So, \( 4.73 \div 7 = 0.6757142857\ldots \) (repeating).

Answer: \( 0.676 \) (rounded to three decimal places)

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#### 12. \( 4 \div 7.184 \)

To divide \( 7.184 \) by \( 4 \):

1. Set up the division: \( 7.184 \div 4 \).
2. Perform the division:
- \( 4 \) goes into \( 7 \) \( 1 \) time because \( 4 \times 1 = 4 \).
- Subtract \( 4 \) from \( 7 \) to get a remainder of \( 3 \).
- Bring down the next digit \( 1 \) to make it \( 31 \).
- \( 4 \) goes into \( 31 \) \( 7 \) times because \( 4 \times 7 = 28 \).
- Subtract \( 28 \) from \( 31 \) to get a remainder of \( 3 \).
- Bring down the next digit \( 8 \) to make it \( 38 \).
- \( 4 \) goes into \( 38 \) \( 9 \) times because \( 4 \times 9 = 36 \).
- Subtract \( 36 \) from \( 38 \) to get a remainder of \( 2 \).
- Bring down the next digit \( 4 \) to make it \( 24 \).
- \( 4 \) goes into \( 24 \) \( 6 \) times because \( 4 \times 6 = 24 \).
- Subtract \( 24 \) from \( 24 \) to get a remainder of \( 0 \).

So, \( 7.184 \div 4 = 1.796 \).

Answer: \( 1.796 \)

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Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ 0.72 \\
2. & \ 1.548 \\
3. & \ 1.16984 \\
4. & \ 0.25 \\
5. & \ 0.375 \\
6. & \ 0.4033 \\
7. & \ 0.271 \\
8. & \ 1.89 \\
9. & \ 0.2325 \\
10. & \ 1.353 \\
11. & \ 0.676 \\
12. & \ 1.796 \\
\end{aligned}
}
\]