Dividing Decimals (A) worksheet with 12 decimal division problems to find quotients.

To solve the problems involving division of decimals, we need to follow these steps:

1. Adjust the divisor to a whole number: Move the decimal point in the divisor to the right until it becomes a whole number. Move the decimal point in the dividend the same number of places to the right.
2. Perform the division: Divide the adjusted numbers as you would with whole numbers.
3. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the dividend.

Let's solve each problem step by step.

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Problem 1: \( 0.58 \div 0.5568 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.58 \rightarrow 58 \)
- Dividend: \( 0.5568 \rightarrow 55.68 \)
- Perform the division: \( 55.68 \div 58 \)
- \( 58 \) goes into \( 556 \) (first two digits of \( 55.68 \)) approximately \( 9 \) times.
- \( 58 \times 9 = 522 \)
- Subtract: \( 556 - 522 = 34 \)
- Bring down the next digit: \( 348 \)
- \( 58 \) goes into \( 348 \) approximately \( 6 \) times.
- \( 58 \times 6 = 348 \)
- Subtract: \( 348 - 348 = 0 \)
- Quotient: \( 0.96 \)

Answer: \( 0.96 \)

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Problem 2: \( 0.2 \div 0.12 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.2 \rightarrow 2 \)
- Dividend: \( 0.12 \rightarrow 1.2 \)
- Perform the division: \( 1.2 \div 2 \)
- \( 2 \) goes into \( 12 \) (considering \( 1.2 \) as \( 12 \) tenths) exactly \( 6 \) times.
- Quotient: \( 0.6 \)

Answer: \( 0.6 \)

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Problem 3: \( 0.7 \div 0.1995 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.7 \rightarrow 7 \)
- Dividend: \( 0.1995 \rightarrow 1.995 \)
- Perform the division: \( 1.995 \div 7 \)
- \( 7 \) goes into \( 19 \) (first two digits of \( 1.995 \)) approximately \( 2 \) times.
- \( 7 \times 2 = 14 \)
- Subtract: \( 19 - 14 = 5 \)
- Bring down the next digit: \( 59 \)
- \( 7 \) goes into \( 59 \) approximately \( 8 \) times.
- \( 7 \times 8 = 56 \)
- Subtract: \( 59 - 56 = 3 \)
- Bring down the next digit: \( 35 \)
- \( 7 \) goes into \( 35 \) exactly \( 5 \) times.
- \( 7 \times 5 = 35 \)
- Subtract: \( 35 - 35 = 0 \)
- Quotient: \( 0.285 \)

Answer: \( 0.285 \)

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Problem 4: \( 1.5 \div 1.2 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 1.5 \rightarrow 15 \)
- Dividend: \( 1.2 \rightarrow 12 \)
- Perform the division: \( 12 \div 15 \)
- \( 15 \) goes into \( 120 \) (considering \( 12 \) as \( 120 \) tenths) exactly \( 8 \) times.
- Quotient: \( 0.8 \)

Answer: \( 0.8 \)

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Problem 5: \( 0.1 \div 0.0805 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.1 \rightarrow 10 \)
- Dividend: \( 0.0805 \rightarrow 8.05 \)
- Perform the division: \( 8.05 \div 10 \)
- \( 10 \) goes into \( 80 \) (first two digits of \( 8.05 \)) exactly \( 8 \) times.
- \( 10 \times 8 = 80 \)
- Subtract: \( 80 - 80 = 0 \)
- Bring down the next digit: \( 5 \)
- \( 10 \) goes into \( 5 \) \( 0 \) times.
- Quotient: \( 0.805 \)

Answer: \( 0.805 \)

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Problem 6: \( 0.6 \div 1.452 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.6 \rightarrow 6 \)
- Dividend: \( 1.452 \rightarrow 14.52 \)
- Perform the division: \( 14.52 \div 6 \)
- \( 6 \) goes into \( 14 \) approximately \( 2 \) times.
- \( 6 \times 2 = 12 \)
- Subtract: \( 14 - 12 = 2 \)
- Bring down the next digit: \( 25 \)
- \( 6 \) goes into \( 25 \) approximately \( 4 \) times.
- \( 6 \times 4 = 24 \)
- Subtract: \( 25 - 24 = 1 \)
- Bring down the next digit: \( 12 \)
- \( 6 \) goes into \( 12 \) exactly \( 2 \) times.
- \( 6 \times 2 = 12 \)
- Subtract: \( 12 - 12 = 0 \)
- Quotient: \( 2.42 \)

Answer: \( 2.42 \)

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Problem 7: \( 0.5 \div 0.05 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.5 \rightarrow 50 \)
- Dividend: \( 0.05 \rightarrow 5 \)
- Perform the division: \( 5 \div 50 \)
- \( 50 \) goes into \( 50 \) exactly \( 1 \) time.
- Quotient: \( 0.1 \)

Answer: \( 0.1 \)

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Problem 8: \( 3.64 \div 28.5376 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 3.64 \rightarrow 364 \)
- Dividend: \( 28.5376 \rightarrow 2853.76 \)
- Perform the division: \( 2853.76 \div 364 \)
- \( 364 \) goes into \( 2853 \) approximately \( 7 \) times.
- \( 364 \times 7 = 2548 \)
- Subtract: \( 2853 - 2548 = 305 \)
- Bring down the next digit: \( 3057 \)
- \( 364 \) goes into \( 3057 \) approximately \( 8 \) times.
- \( 364 \times 8 = 2912 \)
- Subtract: \( 3057 - 2912 = 145 \)
- Bring down the next digit: \( 1456 \)
- \( 364 \) goes into \( 1456 \) approximately \( 4 \) times.
- \( 364 \times 4 = 1456 \)
- Subtract: \( 1456 - 1456 = 0 \)
- Quotient: \( 7.84 \)

Answer: \( 7.84 \)

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Problem 9: \( 1.92 \div 1.152 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 1.92 \rightarrow 192 \)
- Dividend: \( 1.152 \rightarrow 115.2 \)
- Perform the division: \( 115.2 \div 192 \)
- \( 192 \) goes into \( 1152 \) (considering \( 115.2 \) as \( 1152 \) tenths) exactly \( 6 \) times.
- Quotient: \( 0.6 \)

Answer: \( 0.6 \)

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Problem 10: \( 0.3 \div 0.24 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.3 \rightarrow 3 \)
- Dividend: \( 0.24 \rightarrow 2.4 \)
- Perform the division: \( 2.4 \div 3 \)
- \( 3 \) goes into \( 24 \) (considering \( 2.4 \) as \( 24 \) tenths) exactly \( 8 \) times.
- Quotient: \( 0.8 \)

Answer: \( 0.8 \)

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Problem 11: \( 0.9 \div 0.801 \)

- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.9 \rightarrow 9 \)
- Dividend: \( 0.801 \rightarrow 8.01 \)
- Perform the division: \( 8.01 \div 9 \)
- \( 9 \) goes into \( 80 \) approximately \( 8 \) times.
- \( 9 \times 8 = 72 \)
- Subtract: \( 80 - 72 = 8 \)
- Bring down the next digit: \( 81 \)
- \( 9 \) goes into \( 81 \) exactly \( 9 \) times.
- \( 9 \times 9 = 81 \)
- Subtract: \( 81 - 81 = 0 \)
- Quotient: \( 0.89 \)

Answer: \( 0.89 \)

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Problem 12: \( 0.59 \div 0.295 \)

- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.59 \rightarrow 59 \)
- Dividend: \( 0.295 \rightarrow 29.5 \)
- Perform the division: \( 29.5 \div 59 \)
- \( 59 \) goes into \( 295 \) (considering \( 29.5 \) as \( 295 \) tenths) exactly \( 5 \) times.
- Quotient: \( 0.5 \)

Answer: \( 0.5 \)

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Final Answers

\[
\boxed{
\begin{array}{cccc}
0.96 & 0.6 & 0.285 & 0.8 \\
0.805 & 2.42 & 0.1 & 7.84 \\
0.6 & 0.8 & 0.89 & 0.5
\end{array}
}
\]