Printable division worksheet with 12 problems for elementary math practice.
Division worksheet with 12 math problems arranged in a grid, featuring basic division exercises for students.
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Step-by-step solution for: Worksheets for division with remainders
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Show Answer Key & Explanations
Step-by-step solution for: Worksheets for division with remainders
The provided image is a division worksheet with several division problems. Below, I will solve each problem step by step and explain the process.
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Step-by-Step Solution:
1. Divide 31 by 5.
2. How many times does 5 go into 31?
- 5 goes into 31 six times (since \( 5 \times 6 = 30 \)).
3. Subtract \( 30 \) from \( 31 \):
- \( 31 - 30 = 1 \).
4. The quotient is 6, and the remainder is 1.
Answer: \( 6 \text{ R } 1 \)
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Step-by-Step Solution:
1. Divide 10 by 5.
2. How many times does 5 go into 10?
- 5 goes into 10 two times (since \( 5 \times 2 = 10 \)).
3. Subtract \( 10 \) from \( 10 \):
- \( 10 - 10 = 0 \).
4. The quotient is 2, and there is no remainder.
Answer: \( 2 \)
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Step-by-Step Solution:
1. Divide 21 by 6.
2. How many times does 6 go into 21?
- 6 goes into 21 three times (since \( 6 \times 3 = 18 \)).
3. Subtract \( 18 \) from \( 21 \):
- \( 21 - 18 = 3 \).
4. The quotient is 3, and the remainder is 3.
Answer: \( 3 \text{ R } 3 \)
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Step-by-Step Solution:
1. Divide 38 by 4.
2. How many times does 4 go into 38?
- 4 goes into 38 nine times (since \( 4 \times 9 = 36 \)).
3. Subtract \( 36 \) from \( 38 \):
- \( 38 - 36 = 2 \).
4. The quotient is 9, and the remainder is 2.
Answer: \( 9 \text{ R } 2 \)
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Step-by-Step Solution:
1. Divide 20 by 6.
2. How many times does 6 go into 20?
- 6 goes into 20 three times (since \( 6 \times 3 = 18 \)).
3. Subtract \( 18 \) from \( 20 \):
- \( 20 - 18 = 2 \).
4. The quotient is 3, and the remainder is 2.
Answer: \( 3 \text{ R } 2 \)
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Step-by-Step Solution:
1. Divide 4 by 3.
2. How many times does 3 go into 4?
- 3 goes into 4 one time (since \( 3 \times 1 = 3 \)).
3. Subtract \( 3 \) from \( 4 \):
- \( 4 - 3 = 1 \).
4. The quotient is 1, and the remainder is 1.
Answer: \( 1 \text{ R } 1 \)
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Step-by-Step Solution:
1. Divide 29 by 6.
2. How many times does 6 go into 29?
- 6 goes into 29 four times (since \( 6 \times 4 = 24 \)).
3. Subtract \( 24 \) from \( 29 \):
- \( 29 - 24 = 5 \).
4. The quotient is 4, and the remainder is 5.
Answer: \( 4 \text{ R } 5 \)
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Step-by-Step Solution:
1. Divide 23 by 4.
2. How many times does 4 go into 23?
- 4 goes into 23 five times (since \( 4 \times 5 = 20 \)).
3. Subtract \( 20 \) from \( 23 \):
- \( 23 - 20 = 3 \).
4. The quotient is 5, and the remainder is 3.
Answer: \( 5 \text{ R } 3 \)
---
Step-by-Step Solution:
1. Divide 44 by 5.
2. How many times does 5 go into 44?
- 5 goes into 44 eight times (since \( 5 \times 8 = 40 \)).
3. Subtract \( 40 \) from \( 44 \):
- \( 44 - 40 = 4 \).
4. The quotient is 8, and the remainder is 4.
Answer: \( 8 \text{ R } 4 \)
---
Step-by-Step Solution:
1. Divide 33 by 6.
2. How many times does 6 go into 33?
- 6 goes into 33 five times (since \( 6 \times 5 = 30 \)).
3. Subtract \( 30 \) from \( 33 \):
- \( 33 - 30 = 3 \).
4. The quotient is 5, and the remainder is 3.
Answer: \( 5 \text{ R } 3 \)
---
Step-by-Step Solution:
1. Divide 39 by 4.
2. How many times does 4 go into 39?
- 4 goes into 39 nine times (since \( 4 \times 9 = 36 \)).
3. Subtract \( 36 \) from \( 39 \):
- \( 39 - 36 = 3 \).
4. The quotient is 9, and the remainder is 3.
Answer: \( 9 \text{ R } 3 \)
---
Step-by-Step Solution:
1. Divide 29 by 4.
2. How many times does 4 go into 29?
- 4 goes into 29 seven times (since \( 4 \times 7 = 28 \)).
3. Subtract \( 28 \) from \( 29 \):
- \( 29 - 28 = 1 \).
4. The quotient is 7, and the remainder is 1.
Answer: \( 7 \text{ R } 1 \)
---
\[
\boxed{
\begin{array}{ccc}
1 \text{ a. } 6 \text{ R } 1 & 1 \text{ b. } 2 & 1 \text{ c. } 3 \text{ R } 3 \\
2 \text{ a. } 9 \text{ R } 2 & 2 \text{ b. } 3 \text{ R } 2 & 2 \text{ c. } 1 \text{ R } 1 \\
3 \text{ a. } 4 \text{ R } 5 & 3 \text{ b. } 5 \text{ R } 3 & 3 \text{ c. } 8 \text{ R } 4 \\
4 \text{ a. } 5 \text{ R } 3 & 4 \text{ b. } 9 \text{ R } 3 & 4 \text{ c. } 7 \text{ R } 1
\end{array}
}
\]
---
1 a. \( 5 \overline{)31} \)
Step-by-Step Solution:
1. Divide 31 by 5.
2. How many times does 5 go into 31?
- 5 goes into 31 six times (since \( 5 \times 6 = 30 \)).
3. Subtract \( 30 \) from \( 31 \):
- \( 31 - 30 = 1 \).
4. The quotient is 6, and the remainder is 1.
Answer: \( 6 \text{ R } 1 \)
---
1 b. \( 5 \overline{)10} \)
Step-by-Step Solution:
1. Divide 10 by 5.
2. How many times does 5 go into 10?
- 5 goes into 10 two times (since \( 5 \times 2 = 10 \)).
3. Subtract \( 10 \) from \( 10 \):
- \( 10 - 10 = 0 \).
4. The quotient is 2, and there is no remainder.
Answer: \( 2 \)
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1 c. \( 6 \overline{)21} \)
Step-by-Step Solution:
1. Divide 21 by 6.
2. How many times does 6 go into 21?
- 6 goes into 21 three times (since \( 6 \times 3 = 18 \)).
3. Subtract \( 18 \) from \( 21 \):
- \( 21 - 18 = 3 \).
4. The quotient is 3, and the remainder is 3.
Answer: \( 3 \text{ R } 3 \)
---
2 a. \( 4 \overline{)38} \)
Step-by-Step Solution:
1. Divide 38 by 4.
2. How many times does 4 go into 38?
- 4 goes into 38 nine times (since \( 4 \times 9 = 36 \)).
3. Subtract \( 36 \) from \( 38 \):
- \( 38 - 36 = 2 \).
4. The quotient is 9, and the remainder is 2.
Answer: \( 9 \text{ R } 2 \)
---
2 b. \( 6 \overline{)20} \)
Step-by-Step Solution:
1. Divide 20 by 6.
2. How many times does 6 go into 20?
- 6 goes into 20 three times (since \( 6 \times 3 = 18 \)).
3. Subtract \( 18 \) from \( 20 \):
- \( 20 - 18 = 2 \).
4. The quotient is 3, and the remainder is 2.
Answer: \( 3 \text{ R } 2 \)
---
2 c. \( 3 \overline{)4} \)
Step-by-Step Solution:
1. Divide 4 by 3.
2. How many times does 3 go into 4?
- 3 goes into 4 one time (since \( 3 \times 1 = 3 \)).
3. Subtract \( 3 \) from \( 4 \):
- \( 4 - 3 = 1 \).
4. The quotient is 1, and the remainder is 1.
Answer: \( 1 \text{ R } 1 \)
---
3 a. \( 6 \overline{)29} \)
Step-by-Step Solution:
1. Divide 29 by 6.
2. How many times does 6 go into 29?
- 6 goes into 29 four times (since \( 6 \times 4 = 24 \)).
3. Subtract \( 24 \) from \( 29 \):
- \( 29 - 24 = 5 \).
4. The quotient is 4, and the remainder is 5.
Answer: \( 4 \text{ R } 5 \)
---
3 b. \( 4 \overline{)23} \)
Step-by-Step Solution:
1. Divide 23 by 4.
2. How many times does 4 go into 23?
- 4 goes into 23 five times (since \( 4 \times 5 = 20 \)).
3. Subtract \( 20 \) from \( 23 \):
- \( 23 - 20 = 3 \).
4. The quotient is 5, and the remainder is 3.
Answer: \( 5 \text{ R } 3 \)
---
3 c. \( 5 \overline{)44} \)
Step-by-Step Solution:
1. Divide 44 by 5.
2. How many times does 5 go into 44?
- 5 goes into 44 eight times (since \( 5 \times 8 = 40 \)).
3. Subtract \( 40 \) from \( 44 \):
- \( 44 - 40 = 4 \).
4. The quotient is 8, and the remainder is 4.
Answer: \( 8 \text{ R } 4 \)
---
4 a. \( 6 \overline{)33} \)
Step-by-Step Solution:
1. Divide 33 by 6.
2. How many times does 6 go into 33?
- 6 goes into 33 five times (since \( 6 \times 5 = 30 \)).
3. Subtract \( 30 \) from \( 33 \):
- \( 33 - 30 = 3 \).
4. The quotient is 5, and the remainder is 3.
Answer: \( 5 \text{ R } 3 \)
---
4 b. \( 4 \overline{)39} \)
Step-by-Step Solution:
1. Divide 39 by 4.
2. How many times does 4 go into 39?
- 4 goes into 39 nine times (since \( 4 \times 9 = 36 \)).
3. Subtract \( 36 \) from \( 39 \):
- \( 39 - 36 = 3 \).
4. The quotient is 9, and the remainder is 3.
Answer: \( 9 \text{ R } 3 \)
---
4 c. \( 4 \overline{)29} \)
Step-by-Step Solution:
1. Divide 29 by 4.
2. How many times does 4 go into 29?
- 4 goes into 29 seven times (since \( 4 \times 7 = 28 \)).
3. Subtract \( 28 \) from \( 29 \):
- \( 29 - 28 = 1 \).
4. The quotient is 7, and the remainder is 1.
Answer: \( 7 \text{ R } 1 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ccc}
1 \text{ a. } 6 \text{ R } 1 & 1 \text{ b. } 2 & 1 \text{ c. } 3 \text{ R } 3 \\
2 \text{ a. } 9 \text{ R } 2 & 2 \text{ b. } 3 \text{ R } 2 & 2 \text{ c. } 1 \text{ R } 1 \\
3 \text{ a. } 4 \text{ R } 5 & 3 \text{ b. } 5 \text{ R } 3 & 3 \text{ c. } 8 \text{ R } 4 \\
4 \text{ a. } 5 \text{ R } 3 & 4 \text{ b. } 9 \text{ R } 3 & 4 \text{ c. } 7 \text{ R } 1
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit division worksheet 3rd.