Grade 5 Division Worksheets | Free worksheets | Printables - Free Printable

The task involves solving division problems. Below, I will solve each problem step by step and provide the solutions.

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Problem 1: \( 10 \div 4425 \)

To divide 4425 by 10:
- Move the decimal point in 4425 one place to the left (since dividing by 10 shifts the decimal point one place to the left).
- \( 4425 \div 10 = 442.5 \).

Solution: \( 442.5 \)

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Problem 2: \( 8 \div 5226 \)

To divide 5226 by 8:
1. Divide 52 by 8:
- 8 goes into 52 six times (since \( 8 \times 6 = 48 \)).
- Write 6 above the line and subtract \( 52 - 48 = 4 \). Bring down the next digit (2).
2. Divide 42 by 8:
- 8 goes into 42 five times (since \( 8 \times 5 = 40 \)).
- Write 5 above the line and subtract \( 42 - 40 = 2 \). Bring down the next digit (6).
3. Divide 26 by 8:
- 8 goes into 26 three times (since \( 8 \times 3 = 24 \)).
- Write 3 above the line and subtract \( 26 - 24 = 2 \). The remainder is 2.

Thus, \( 5226 \div 8 = 653 \) with a remainder of 2, or as a decimal: \( 653.25 \).

Solution: \( 653.25 \)

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Problem 3: \( 8 \div 684 \)

To divide 684 by 8:
1. Divide 68 by 8:
- 8 goes into 68 eight times (since \( 8 \times 8 = 64 \)).
- Write 8 above the line and subtract \( 68 - 64 = 4 \). Bring down the next digit (4).
2. Divide 44 by 8:
- 8 goes into 44 five times (since \( 8 \times 5 = 40 \)).
- Write 5 above the line and subtract \( 44 - 40 = 4 \). The remainder is 4.

Thus, \( 684 \div 8 = 85 \) with a remainder of 4, or as a decimal: \( 85.5 \).

Solution: \( 85.5 \)

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Problem 4: \( 40 \div 3570 \)

To divide 3570 by 40:
1. Divide 357 by 40:
- 40 goes into 357 eight times (since \( 40 \times 8 = 320 \)).
- Write 8 above the line and subtract \( 357 - 320 = 37 \). Bring down the next digit (0).
2. Divide 370 by 40:
- 40 goes into 370 nine times (since \( 40 \times 9 = 360 \)).
- Write 9 above the line and subtract \( 370 - 360 = 10 \). The remainder is 10.

Thus, \( 3570 \div 40 = 89 \) with a remainder of 10, or as a decimal: \( 89.25 \).

Solution: \( 89.25 \)

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Problem 5: \( 8 \div 6020 \)

To divide 6020 by 8:
1. Divide 60 by 8:
- 8 goes into 60 seven times (since \( 8 \times 7 = 56 \)).
- Write 7 above the line and subtract \( 60 - 56 = 4 \). Bring down the next digit (2).
2. Divide 42 by 8:
- 8 goes into 42 five times (since \( 8 \times 5 = 40 \)).
- Write 5 above the line and subtract \( 42 - 40 = 2 \). Bring down the next digit (0).
3. Divide 20 by 8:
- 8 goes into 20 two times (since \( 8 \times 2 = 16 \)).
- Write 2 above the line and subtract \( 20 - 16 = 4 \). The remainder is 4.

Thus, \( 6020 \div 8 = 752 \) with a remainder of 4, or as a decimal: \( 752.5 \).

Solution: \( 752.5 \)

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Problem 6: \( 5 \div 2584 \)

To divide 2584 by 5:
1. Divide 25 by 5:
- 5 goes into 25 five times (since \( 5 \times 5 = 25 \)).
- Write 5 above the line and subtract \( 25 - 25 = 0 \). Bring down the next digit (8).
2. Divide 8 by 5:
- 5 goes into 8 one time (since \( 5 \times 1 = 5 \)).
- Write 1 above the line and subtract \( 8 - 5 = 3 \). Bring down the next digit (4).
3. Divide 34 by 5:
- 5 goes into 34 six times (since \( 5 \times 6 = 30 \)).
- Write 6 above the line and subtract \( 34 - 30 = 4 \). The remainder is 4.

Thus, \( 2584 \div 5 = 516 \) with a remainder of 4, or as a decimal: \( 516.8 \).

Solution: \( 516.8 \)

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Problem 7: \( 6 \div 4275 \)

To divide 4275 by 6:
1. Divide 42 by 6:
- 6 goes into 42 seven times (since \( 6 \times 7 = 42 \)).
- Write 7 above the line and subtract \( 42 - 42 = 0 \). Bring down the next digit (7).
2. Divide 7 by 6:
- 6 goes into 7 one time (since \( 6 \times 1 = 6 \)).
- Write 1 above the line and subtract \( 7 - 6 = 1 \). Bring down the next digit (5).
3. Divide 15 by 6:
- 6 goes into 15 two times (since \( 6 \times 2 = 12 \)).
- Write 2 above the line and subtract \( 15 - 12 = 3 \). The remainder is 3.

Thus, \( 4275 \div 6 = 712 \) with a remainder of 3, or as a decimal: \( 712.5 \).

Solution: \( 712.5 \)

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Problem 8: \( 4 \div 3581 \)

To divide 3581 by 4:
1. Divide 35 by 4:
- 4 goes into 35 eight times (since \( 4 \times 8 = 32 \)).
- Write 8 above the line and subtract \( 35 - 32 = 3 \). Bring down the next digit (8).
2. Divide 38 by 4:
- 4 goes into 38 nine times (since \( 4 \times 9 = 36 \)).
- Write 9 above the line and subtract \( 38 - 36 = 2 \). Bring down the next digit (1).
3. Divide 21 by 4:
- 4 goes into 21 five times (since \( 4 \times 5 = 20 \)).
- Write 5 above the line and subtract \( 21 - 20 = 1 \). The remainder is 1.

Thus, \( 3581 \div 4 = 895 \) with a remainder of 1, or as a decimal: \( 895.25 \).

Solution: \( 895.25 \)

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Problem 9: \( 8 \div 3754 \)

To divide 3754 by 8:
1. Divide 37 by 8:
- 8 goes into 37 four times (since \( 8 \times 4 = 32 \)).
- Write 4 above the line and subtract \( 37 - 32 = 5 \). Bring down the next digit (5).
2. Divide 55 by 8:
- 8 goes into 55 six times (since \( 8 \times 6 = 48 \)).
- Write 6 above the line and subtract \( 55 - 48 = 7 \). Bring down the next digit (4).
3. Divide 74 by 8:
- 8 goes into 74 nine times (since \( 8 \times 9 = 72 \)).
- Write 9 above the line and subtract \( 74 - 72 = 2 \). The remainder is 2.

Thus, \( 3754 \div 8 = 469 \) with a remainder of 2, or as a decimal: \( 469.25 \).

Solution: \( 469.25 \)

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Problem 10: \( 5 \div 2180 \)

To divide 2180 by 5:
1. Divide 21 by 5:
- 5 goes into 21 four times (since \( 5 \times 4 = 20 \)).
- Write 4 above the line and subtract \( 21 - 20 = 1 \). Bring down the next digit (8).
2. Divide 18 by 5:
- 5 goes into 18 three times (since \( 5 \times 3 = 15 \)).
- Write 3 above the line and subtract \( 18 - 15 = 3 \). Bring down the next digit (0).
3. Divide 30 by 5:
- 5 goes into 30 six times (since \( 5 \times 6 = 30 \)).
- Write 6 above the line and subtract \( 30 - 30 = 0 \). The remainder is 0.

Thus, \( 2180 \div 5 = 436 \).

Solution: \( 436 \)

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Problem 11: \( 8 \div 7620 \)

To divide 7620 by 8:
1. Divide 76 by 8:
- 8 goes into 76 nine times (since \( 8 \times 9 = 72 \)).
- Write 9 above the line and subtract \( 76 - 72 = 4 \). Bring down the next digit (2).
2. Divide 42 by 8:
- 8 goes into 42 five times (since \( 8 \times 5 = 40 \)).
- Write 5 above the line and subtract \( 42 - 40 = 2 \). Bring down the next digit (0).
3. Divide 20 by 8:
- 8 goes into 20 two times (since \( 8 \times 2 = 16 \)).
- Write 2 above the line and subtract \( 20 - 16 = 4 \). The remainder is 4.

Thus, \( 7620 \div 8 = 952 \) with a remainder of 4, or as a decimal: \( 952.5 \).

Solution: \( 952.5 \)

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Problem 12: \( 20 \div 1510 \)

To divide 1510 by 20:
1. Divide 151 by 20:
- 20 goes into 151 seven times (since \( 20 \times 7 = 140 \)).
- Write 7 above the line and subtract \( 151 - 140 = 11 \). Bring down the next digit (0).
2. Divide 110 by 20:
- 20 goes into 110 five times (since \( 20 \times 5 = 100 \)).
- Write 5 above the line and subtract \( 110 - 100 = 10 \). The remainder is 10.

Thus, \( 1510 \div 20 = 75 \) with a remainder of 10, or as a decimal: \( 75.5 \).

Solution: \( 75.5 \)

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Problem 13: \( 5 \div 2644 \)

To divide 2644 by 5:
1. Divide 26 by 5:
- 5 goes into 26 five times (since \( 5 \times 5 = 25 \)).
- Write 5 above the line and subtract \( 26 - 25 = 1 \). Bring down the next digit (4).
2. Divide 14 by 5:
- 5 goes into 14 two times (since \( 5 \times 2 = 10 \)).
- Write 2 above the line and subtract \( 14 - 10 = 4 \). Bring down the next digit (4).
3. Divide 44 by 5:
- 5 goes into 44 eight times (since \( 5 \times 8 = 40 \)).
- Write 8 above the line and subtract \( 44 - 40 = 4 \). The remainder is 4.

Thus, \( 2644 \div 5 = 528 \) with a remainder of 4, or as a decimal: \( 528.8 \).

Solution: \( 528.8 \)

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Problem 14: \( 5 \div 1069 \)

To divide 1069 by 5:
1. Divide 10 by 5:
- 5 goes into 10 two times (since \( 5 \times 2 = 10 \)).
- Write 2 above the line and subtract \( 10 - 10 = 0 \). Bring down the next digit (6).
2. Divide 6 by 5:
- 5 goes into 6 one time (since \( 5 \times 1 = 5 \)).
- Write 1 above the line and subtract \( 6 - 5 = 1 \). Bring down the next digit (9).
3. Divide 19 by 5:
- 5 goes into 19 three times (since \( 5 \times 3 = 15 \)).
- Write 3 above the line and subtract \( 19 - 15 = 4 \). The remainder is 4.

Thus, \( 1069 \div 5 = 213 \) with a remainder of 4, or as a decimal: \( 213.8 \).

Solution: \( 213.8 \)

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Problem 15: \( 8 \div 3180 \)

To divide 3180 by 8:
1. Divide 31 by 8:
- 8 goes into 31 three times (since \( 8 \times 3 = 24 \)).
- Write 3 above the line and subtract \( 31 - 24 = 7 \). Bring down the next digit (8).
2. Divide 78 by 8:
- 8 goes into 78 nine times (since \( 8 \times 9 = 72 \)).
- Write 9 above the line and subtract \( 78 - 72 = 6 \). Bring down the next digit (0).
3. Divide 60 by 8:
- 8 goes into 60 seven times (since \( 8 \times 7 = 56 \)).
- Write 7 above the line and subtract \( 60 - 56 = 4 \). The remainder is 4.

Thus, \( 3180 \div 8 = 397 \) with a remainder of 4, or as a decimal: \( 397.5 \).

Solution: \( 397.5 \)

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Final Answers:

\[
\boxed{
\begin{aligned}
1. & \, 442.5 \\
2. & \, 653.25 \\
3. & \, 85.5 \\
4. & \, 89.25 \\
5. & \, 752.5 \\
6. & \, 516.8 \\
7. & \, 712.5 \\
8. & \, 895.25 \\
9. & \, 469.25 \\
10. & \, 436 \\
11. & \, 952.5 \\
12. & \, 75.5 \\
13. & \, 528.8 \\
14. & \, 213.8 \\
15. & \, 397.5 \\
\end{aligned}
}
\]