Math worksheet for dividing decimals, featuring 12 problems with decimal divisors and dividends.

To solve the problems involving dividing decimals, we will 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.
2. Move the decimal point in the dividend: Move the decimal point in the dividend the same number of places to the right as you did for the divisor.
3. Perform the division: Divide the adjusted numbers as if they were whole numbers.
4. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the adjusted dividend.

Let's solve each problem step by step.

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Problem 1: \( 3.9 \div 38.22 \)

1. Adjust the divisor: Move the decimal point in \( 3.9 \) one place to the right to make it \( 39 \). Move the decimal point in \( 38.22 \) one place to the right to make it \( 382.2 \).
2. Perform the division: \( 39 \div 382.2 \).

- \( 39 \) goes into \( 382 \) approximately \( 9 \) times (since \( 39 \times 9 = 351 \)).
- Subtract \( 351 \) from \( 382 \) to get \( 31 \).
- Bring down the next digit \( 2 \) to make it \( 312 \).
- \( 39 \) goes into \( 312 \) approximately \( 8 \) times (since \( 39 \times 8 = 312 \)).
- Subtract \( 312 \) from \( 312 \) to get \( 0 \).

So, \( 39 \div 382.2 = 9.8 \).

Therefore, \( 3.9 \div 38.22 = 9.8 \).

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Problem 2: \( 7.6 \div 34.2 \)

1. Adjust the divisor: Move the decimal point in \( 7.6 \) one place to the right to make it \( 76 \). Move the decimal point in \( 34.2 \) one place to the right to make it \( 342 \).
2. Perform the division: \( 76 \div 342 \).

- \( 76 \) goes into \( 342 \) approximately \( 4 \) times (since \( 76 \times 4 = 304 \)).
- Subtract \( 304 \) from \( 342 \) to get \( 38 \).

So, \( 76 \div 342 = 4.5 \).

Therefore, \( 7.6 \div 34.2 = 4.5 \).

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Problem 3: \( 5.4 \div 11.88 \)

1. Adjust the divisor: Move the decimal point in \( 5.4 \) one place to the right to make it \( 54 \). Move the decimal point in \( 11.88 \) one place to the right to make it \( 118.8 \).
2. Perform the division: \( 54 \div 118.8 \).

- \( 54 \) goes into \( 118 \) approximately \( 2 \) times (since \( 54 \times 2 = 108 \)).
- Subtract \( 108 \) from \( 118 \) to get \( 10 \).
- Bring down the next digit \( 8 \) to make it \( 108 \).
- \( 54 \) goes into \( 108 \) exactly \( 2 \) times (since \( 54 \times 2 = 108 \)).
- Subtract \( 108 \) from \( 108 \) to get \( 0 \).

So, \( 54 \div 118.8 = 2.2 \).

Therefore, \( 5.4 \div 11.88 = 2.2 \).

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Problem 4: \( 9.3 \div 58.59 \)

1. Adjust the divisor: Move the decimal point in \( 9.3 \) one place to the right to make it \( 93 \). Move the decimal point in \( 58.59 \) one place to the right to make it \( 585.9 \).
2. Perform the division: \( 93 \div 585.9 \).

- \( 93 \) goes into \( 585 \) approximately \( 6 \) times (since \( 93 \times 6 = 558 \)).
- Subtract \( 558 \) from \( 585 \) to get \( 27 \).
- Bring down the next digit \( 9 \) to make it \( 279 \).
- \( 93 \) goes into \( 279 \) exactly \( 3 \) times (since \( 93 \times 3 = 279 \)).
- Subtract \( 279 \) from \( 279 \) to get \( 0 \).

So, \( 93 \div 585.9 = 6.3 \).

Therefore, \( 9.3 \div 58.59 = 6.3 \).

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Problem 5: \( 1.6 \div 8.96 \)

1. Adjust the divisor: Move the decimal point in \( 1.6 \) one place to the right to make it \( 16 \). Move the decimal point in \( 8.96 \) one place to the right to make it \( 89.6 \).
2. Perform the division: \( 16 \div 89.6 \).

- \( 16 \) goes into \( 89 \) approximately \( 5 \) times (since \( 16 \times 5 = 80 \)).
- Subtract \( 80 \) from \( 89 \) to get \( 9 \).
- Bring down the next digit \( 6 \) to make it \( 96 \).
- \( 16 \) goes into \( 96 \) exactly \( 6 \) times (since \( 16 \times 6 = 96 \)).
- Subtract \( 96 \) from \( 96 \) to get \( 0 \).

So, \( 16 \div 89.6 = 5.6 \).

Therefore, \( 1.6 \div 8.96 = 5.6 \).

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Problem 6: \( 9.2 \div 77.28 \)

1. Adjust the divisor: Move the decimal point in \( 9.2 \) one place to the right to make it \( 92 \). Move the decimal point in \( 77.28 \) one place to the right to make it \( 772.8 \).
2. Perform the division: \( 92 \div 772.8 \).

- \( 92 \) goes into \( 772 \) approximately \( 8 \) times (since \( 92 \times 8 = 736 \)).
- Subtract \( 736 \) from \( 772 \) to get \( 36 \).
- Bring down the next digit \( 8 \) to make it \( 368 \).
- \( 92 \) goes into \( 368 \) exactly \( 4 \) times (since \( 92 \times 4 = 368 \)).
- Subtract \( 368 \) from \( 368 \) to get \( 0 \).

So, \( 92 \div 772.8 = 8.4 \).

Therefore, \( 9.2 \div 77.28 = 8.4 \).

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Problem 7: \( 5.9 \div 35.4 \)

1. Adjust the divisor: Move the decimal point in \( 5.9 \) one place to the right to make it \( 59 \). Move the decimal point in \( 35.4 \) one place to the right to make it \( 354 \).
2. Perform the division: \( 59 \div 354 \).

- \( 59 \) goes into \( 354 \) approximately \( 6 \) times (since \( 59 \times 6 = 354 \)).
- Subtract \( 354 \) from \( 354 \) to get \( 0 \).

So, \( 59 \div 354 = 6 \).

Therefore, \( 5.9 \div 35.4 = 6 \).

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Problem 8: \( 7.6 \div 69.92 \)

1. Adjust the divisor: Move the decimal point in \( 7.6 \) one place to the right to make it \( 76 \). Move the decimal point in \( 69.92 \) one place to the right to make it \( 699.2 \).
2. Perform the division: \( 76 \div 699.2 \).

- \( 76 \) goes into \( 699 \) approximately \( 9 \) times (since \( 76 \times 9 = 684 \)).
- Subtract \( 684 \) from \( 699 \) to get \( 15 \).
- Bring down the next digit \( 2 \) to make it \( 152 \).
- \( 76 \) goes into \( 152 \) exactly \( 2 \) times (since \( 76 \times 2 = 152 \)).
- Subtract \( 152 \) from \( 152 \) to get \( 0 \).

So, \( 76 \div 699.2 = 9.2 \).

Therefore, \( 7.6 \div 69.92 = 9.2 \).

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Problem 9: \( 6.9 \div 58.65 \)

1. Adjust the divisor: Move the decimal point in \( 6.9 \) one place to the right to make it \( 69 \). Move the decimal point in \( 58.65 \) one place to the right to make it \( 586.5 \).
2. Perform the division: \( 69 \div 586.5 \).

- \( 69 \) goes into \( 586 \) approximately \( 8 \) times (since \( 69 \times 8 = 552 \)).
- Subtract \( 552 \) from \( 586 \) to get \( 34 \).
- Bring down the next digit \( 5 \) to make it \( 345 \).
- \( 69 \) goes into \( 345 \) exactly \( 5 \) times (since \( 69 \times 5 = 345 \)).
- Subtract \( 345 \) from \( 345 \) to get \( 0 \).

So, \( 69 \div 586.5 = 8.5 \).

Therefore, \( 6.9 \div 58.65 = 8.5 \).

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Problem 10: \( 6.2 \div 49.6 \)

1. Adjust the divisor: Move the decimal point in \( 6.2 \) one place to the right to make it \( 62 \). Move the decimal point in \( 49.6 \) one place to the right to make it \( 496 \).
2. Perform the division: \( 62 \div 496 \).

- \( 62 \) goes into \( 496 \) approximately \( 8 \) times (since \( 62 \times 8 = 496 \)).
- Subtract \( 496 \) from \( 496 \) to get \( 0 \).

So, \( 62 \div 496 = 8 \).

Therefore, \( 6.2 \div 49.6 = 8 \).

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Problem 11: \( 1.7 \div 16.83 \)

1. Adjust the divisor: Move the decimal point in \( 1.7 \) one place to the right to make it \( 17 \). Move the decimal point in \( 16.83 \) one place to the right to make it \( 168.3 \).
2. Perform the division: \( 17 \div 168.3 \).

- \( 17 \) goes into \( 168 \) approximately \( 9 \) times (since \( 17 \times 9 = 153 \)).
- Subtract \( 153 \) from \( 168 \) to get \( 15 \).
- Bring down the next digit \( 3 \) to make it \( 153 \).
- \( 17 \) goes into \( 153 \) exactly \( 9 \) times (since \( 17 \times 9 = 153 \)).
- Subtract \( 153 \) from \( 153 \) to get \( 0 \).

So, \( 17 \div 168.3 = 9.9 \).

Therefore, \( 1.7 \div 16.83 = 9.9 \).

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Problem 12: \( 7.1 \div 12.07 \)

1. Adjust the divisor: Move the decimal point in \( 7.1 \) one place to the right to make it \( 71 \). Move the decimal point in \( 12.07 \) one place to the right to make it \( 120.7 \).
2. Perform the division: \( 71 \div 120.7 \).

- \( 71 \) goes into \( 120 \) approximately \( 1 \) time (since \( 71 \times 1 = 71 \)).
- Subtract \( 71 \) from \( 120 \) to get \( 49 \).
- Bring down the next digit \( 7 \) to make it \( 497 \).
- \( 71 \) goes into \( 497 \) approximately \( 7 \) times (since \( 71 \times 7 = 497 \)).
- Subtract \( 497 \) from \( 497 \) to get \( 0 \).

So, \( 71 \div 120.7 = 1.7 \).

Therefore, \( 7.1 \div 12.07 = 1.7 \).

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Final Answer

\[
\boxed{
\begin{array}{cccc}
9.8 & 4.5 & 2.2 & 6.3 \\
5.6 & 8.4 & 6 & 9.2 \\
8.5 & 8 & 9.9 & 1.7 \\
\end{array}
}
\]