Decimal division practice worksheet for students to solve nine problems, designed by Math Monks.

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

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