Dividing Decimals Worksheets - Math Monks - Free Printable

To solve the decimal division problems, we will perform each division step by step. Here are the solutions:

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Problem 1: \( 5.2 \div 30.58 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 10.
- Divisor: \( 5.2 \times 10 = 52 \)
- Dividend: \( 30.58 \times 10 = 305.8 \)

2. Perform the division: \( 305.8 \div 52 \)
- \( 52 \) goes into \( 305 \) approximately \( 5 \) times.
- \( 52 \times 5 = 260 \)
- Subtract: \( 305 - 260 = 45 \)
- Bring down the next digit: \( 458 \)
- \( 52 \) goes into \( 458 \) approximately \( 8 \) times.
- \( 52 \times 8 = 416 \)
- Subtract: \( 458 - 416 = 42 \)

The quotient is approximately \( 5.88 \).

Answer: \( 5.88 \)

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Problem 2: \( 7.5 \div 145.13 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 10.
- Divisor: \( 7.5 \times 10 = 75 \)
- Dividend: \( 145.13 \times 10 = 1451.3 \)

2. Perform the division: \( 1451.3 \div 75 \)
- \( 75 \) goes into \( 145 \) approximately \( 1 \) time.
- \( 75 \times 1 = 75 \)
- Subtract: \( 145 - 75 = 70 \)
- Bring down the next digit: \( 701 \)
- \( 75 \) goes into \( 701 \) approximately \( 9 \) times.
- \( 75 \times 9 = 675 \)
- Subtract: \( 701 - 675 = 26 \)
- Bring down the next digit: \( 263 \)
- \( 75 \) goes into \( 263 \) approximately \( 3 \) times.
- \( 75 \times 3 = 225 \)
- Subtract: \( 263 - 225 = 38 \)

The quotient is approximately \( 19.35 \).

Answer: \( 19.35 \)

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Problem 3: \( 68 \div 288.09 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 68 \times 100 = 6800 \)
- Dividend: \( 288.09 \times 100 = 28809 \)

2. Perform the division: \( 28809 \div 6800 \)
- \( 6800 \) goes into \( 28809 \) approximately \( 4 \) times.
- \( 6800 \times 4 = 27200 \)
- Subtract: \( 28809 - 27200 = 1609 \)

The quotient is approximately \( 4.24 \).

Answer: \( 4.24 \)

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Problem 4: \( 100 \div 581.30 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 100 \times 100 = 10000 \)
- Dividend: \( 581.30 \times 100 = 58130 \)

2. Perform the division: \( 58130 \div 10000 \)
- \( 10000 \) goes into \( 58130 \) approximately \( 5 \) times.
- \( 10000 \times 5 = 50000 \)
- Subtract: \( 58130 - 50000 = 8130 \)

The quotient is approximately \( 5.81 \).

Answer: \( 5.81 \)

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Problem 5: \( 3 \div 281.30 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 3 \times 100 = 300 \)
- Dividend: \( 281.30 \times 100 = 28130 \)

2. Perform the division: \( 28130 \div 300 \)
- \( 300 \) goes into \( 28130 \) approximately \( 93 \) times.
- \( 300 \times 93 = 27900 \)
- Subtract: \( 28130 - 27900 = 230 \)

The quotient is approximately \( 93.77 \).

Answer: \( 93.77 \)

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Problem 6: \( 66.8 \div 1889.37 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 66.8 \times 100 = 6680 \)
- Dividend: \( 1889.37 \times 100 = 188937 \)

2. Perform the division: \( 188937 \div 6680 \)
- \( 6680 \) goes into \( 188937 \) approximately \( 28 \) times.
- \( 6680 \times 28 = 187040 \)
- Subtract: \( 188937 - 187040 = 1897 \)

The quotient is approximately \( 28.29 \).

Answer: \( 28.29 \)

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Problem 7: \( 8.03 \div 58.34 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 8.03 \times 100 = 803 \)
- Dividend: \( 58.34 \times 100 = 5834 \)

2. Perform the division: \( 5834 \div 803 \)
- \( 803 \) goes into \( 5834 \) approximately \( 7 \) times.
- \( 803 \times 7 = 5621 \)
- Subtract: \( 5834 - 5621 = 213 \)

The quotient is approximately \( 7.27 \).

Answer: \( 7.27 \)

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Problem 8: \( 3.9 \div 9.204 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 1000.
- Divisor: \( 3.9 \times 1000 = 3900 \)
- Dividend: \( 9.204 \times 1000 = 9204 \)

2. Perform the division: \( 9204 \div 3900 \)
- \( 3900 \) goes into \( 9204 \) approximately \( 2 \) times.
- \( 3900 \times 2 = 7800 \)
- Subtract: \( 9204 - 7800 = 1404 \)

The quotient is approximately \( 2.36 \).

Answer: \( 2.36 \)

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Problem 9: \( 1000 \div 2867.18 \)

1. Adjust the divisor to a whole number: Multiply both the divisor and dividend by 100.
- Divisor: \( 1000 \times 100 = 100000 \)
- Dividend: \( 2867.18 \times 100 = 286718 \)

2. Perform the division: \( 286718 \div 100000 \)
- \( 100000 \) goes into \( 286718 \) approximately \( 2 \) times.
- \( 100000 \times 2 = 200000 \)
- Subtract: \( 286718 - 200000 = 86718 \)

The quotient is approximately \( 2.87 \).

Answer: \( 2.87 \)

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Final Answers

\[
\boxed{
\begin{aligned}
1. & \ 5.88 \\
2. & \ 19.35 \\
3. & \ 4.24 \\
4. & \ 5.81 \\
5. & \ 93.77 \\
6. & \ 28.29 \\
7. & \ 7.27 \\
8. & \ 2.36 \\
9. & \ 2.87 \\
\end{aligned}
}
\]