Dividing Decimals Worksheets - Free Printable

The task involves solving division problems involving decimals, with the results rounded to up to three decimal places. Below is a step-by-step explanation of how to solve these problems.

General Steps for Decimal Division:

1. Adjust the Divisor: If the divisor is a decimal, move the decimal point to the right to make it a whole number. Move the decimal point in the dividend the same number of places to the right.
2. Perform Long Division: Divide as you would with whole numbers.
3. Place the Decimal Point: The decimal point in the quotient should be directly above the decimal point in the adjusted dividend.
4. Round to Three Decimal Places: If the quotient has more than three decimal places, round it to three decimal places.

Solutions:

#### Problem 1: \( 98 \div 7.33 \)
- Adjust the divisor: Move the decimal point two places to the right in both the divisor and the dividend.
- Divisor: \( 7.33 \rightarrow 733 \)
- Dividend: \( 98 \rightarrow 9800 \)
- Perform long division: \( 9800 \div 733 \approx 13.367 \)
- Result: \( 13.367 \)

#### Problem 2: \( 96 \div 25.5 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 25.5 \rightarrow 255 \)
- Dividend: \( 96 \rightarrow 960 \)
- Perform long division: \( 960 \div 255 \approx 3.765 \)
- Result: \( 3.765 \)

#### Problem 3: \( 0.57 \div 38.4 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 38.4 \rightarrow 384 \)
- Dividend: \( 0.57 \rightarrow 5.7 \)
- Perform long division: \( 5.7 \div 384 \approx 0.015 \)
- Result: \( 0.015 \)

#### Problem 4: \( 0.97 \div 10.6 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 10.6 \rightarrow 106 \)
- Dividend: \( 0.97 \rightarrow 9.7 \)
- Perform long division: \( 9.7 \div 106 \approx 0.091 \)
- Result: \( 0.091 \)

#### Problem 5: \( 94 \div 33.6 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 33.6 \rightarrow 336 \)
- Dividend: \( 94 \rightarrow 940 \)
- Perform long division: \( 940 \div 336 \approx 2.798 \)
- Result: \( 2.798 \)

#### Problem 6: \( 46 \div 6.2 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 6.2 \rightarrow 62 \)
- Dividend: \( 46 \rightarrow 460 \)
- Perform long division: \( 460 \div 62 \approx 7.419 \)
- Result: \( 7.419 \)

#### Problem 7: \( 0.56 \div 8.3 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 8.3 \rightarrow 83 \)
- Dividend: \( 0.56 \rightarrow 5.6 \)
- Perform long division: \( 5.6 \div 83 \approx 0.067 \)
- Result: \( 0.067 \)

#### Problem 8: \( 88 \div 9.2 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 9.2 \rightarrow 92 \)
- Dividend: \( 88 \rightarrow 880 \)
- Perform long division: \( 880 \div 92 \approx 9.565 \)
- Result: \( 9.565 \)

#### Problem 9: \( 0.76 \div 4.83 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 4.83 \rightarrow 48.3 \)
- Dividend: \( 0.76 \rightarrow 7.6 \)
- Perform long division: \( 7.6 \div 48.3 \approx 0.157 \)
- Result: \( 0.157 \)

#### Problem 10: \( 15 \div 0.724 \)
- Adjust the divisor: Move the decimal point three places to the right in both the divisor and the dividend.
- Divisor: \( 0.724 \rightarrow 724 \)
- Dividend: \( 15 \rightarrow 15000 \)
- Perform long division: \( 15000 \div 724 \approx 20.718 \)
- Result: \( 20.718 \)

#### Problem 11: \( 32 \div 3.21 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 3.21 \rightarrow 32.1 \)
- Dividend: \( 32 \rightarrow 320 \)
- Perform long division: \( 320 \div 32.1 \approx 10.000 \)
- Result: \( 10.000 \)

#### Problem 12: \( 41 \div 0.198 \)
- Adjust the divisor: Move the decimal point three places to the right in both the divisor and the dividend.
- Divisor: \( 0.198 \rightarrow 198 \)
- Dividend: \( 41 \rightarrow 41000 \)
- Perform long division: \( 41000 \div 198 \approx 206.566 \)
- Result: \( 206.566 \)

#### Problem 13: \( 4.6 \div 2.99 \)
- Adjust the divisor: Move the decimal point two places to the right in both the divisor and the dividend.
- Divisor: \( 2.99 \rightarrow 299 \)
- Dividend: \( 4.6 \rightarrow 460 \)
- Perform long division: \( 460 \div 299 \approx 1.538 \)
- Result: \( 1.538 \)

#### Problem 14: \( 5.0 \div 44.7 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 44.7 \rightarrow 447 \)
- Dividend: \( 5.0 \rightarrow 50 \)
- Perform long division: \( 50 \div 447 \approx 0.112 \)
- Result: \( 0.112 \)

#### Problem 15: \( 54 \div 89.3 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 89.3 \rightarrow 893 \)
- Dividend: \( 54 \rightarrow 540 \)
- Perform long division: \( 540 \div 893 \approx 0.605 \)
- Result: \( 0.605 \)

#### Problem 16: \( 48 \div 4.52 \)
- Adjust the divisor: Move the decimal point two places to the right in both the divisor and the dividend.
- Divisor: \( 4.52 \rightarrow 452 \)
- Dividend: \( 48 \rightarrow 4800 \)
- Perform long division: \( 4800 \div 452 \approx 10.619 \)
- Result: \( 10.619 \)

#### Problem 17: \( 0.80 \div 9.01 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 9.01 \rightarrow 90.1 \)
- Dividend: \( 0.80 \rightarrow 8.0 \)
- Perform long division: \( 8.0 \div 90.1 \approx 0.089 \)
- Result: \( 0.089 \)

#### Problem 18: \( 2.6 \div 0.329 \)
- Adjust the divisor: Move the decimal point three places to the right in both the divisor and the dividend.
- Divisor: \( 0.329 \rightarrow 329 \)
- Dividend: \( 2.6 \rightarrow 2600 \)
- Perform long division: \( 2600 \div 329 \approx 7.903 \)
- Result: \( 7.903 \)

#### Problem 19: \( 2.3 \div 6.53 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 6.53 \rightarrow 65.3 \)
- Dividend: \( 2.3 \rightarrow 23 \)
- Perform long division: \( 23 \div 65.3 \approx 0.352 \)
- Result: \( 0.352 \)

#### Problem 20: \( 0.25 \div 22.3 \)
- Adjust the divisor: Move the decimal point one place to the right in both the divisor and the dividend.
- Divisor: \( 22.3 \rightarrow 223 \)
- Dividend: \( 0.25 \rightarrow 2.5 \)
- Perform long division: \( 2.5 \div 223 \approx 0.011 \)
- Result: \( 0.011 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 13.367 \\
2. & 3.765 \\
3. & 0.015 \\
4. & 0.091 \\
5. & 2.798 \\
6. & 7.419 \\
7. & 0.067 \\
8. & 9.565 \\
9. & 0.157 \\
10. & 20.718 \\
11. & 10.000 \\
12. & 206.566 \\
13. & 1.538 \\
14. & 0.112 \\
15. & 0.605 \\
16. & 10.619 \\
17. & 0.089 \\
18. & 7.903 \\
19. & 0.352 \\
20. & 0.011 \\
\end{array}
}
\]