Long division practice worksheet with six problems to solve, designed for students to practice division with no remainders.
A worksheet titled "Long Division with No Remainder" featuring six division problems, each with a divisor and dividend, and a cartoon crab and shrimp for decoration.
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Show Answer Key & Explanations
Step-by-step solution for: Long Division No Remainders Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Long Division No Remainders Worksheet
Problem: Solve each division problem using long division. Check your work.
#### Step-by-Step Solutions:
---
Problem 1: \( 12 \div 4920 \)
1. Set up the division:
\[
12 \longdiv{4920}
\]
2. Divide:
- How many times does 12 go into 49? It goes 4 times because \( 12 \times 4 = 48 \).
- Subtract: \( 49 - 48 = 1 \).
- Bring down the next digit (2): Now we have 12.
3. Continue dividing:
- How many times does 12 go into 12? It goes 1 time because \( 12 \times 1 = 12 \).
- Subtract: \( 12 - 12 = 0 \).
- Bring down the next digit (0): Now we have 0.
4. Final result:
- The quotient is 410, and there is no remainder.
\[
\boxed{410}
\]
---
Problem 2: \( 15 \div 8760 \)
1. Set up the division:
\[
15 \longdiv{8760}
\]
2. Divide:
- How many times does 15 go into 87? It goes 5 times because \( 15 \times 5 = 75 \).
- Subtract: \( 87 - 75 = 12 \).
- Bring down the next digit (6): Now we have 126.
3. Continue dividing:
- How many times does 15 go into 126? It goes 8 times because \( 15 \times 8 = 120 \).
- Subtract: \( 126 - 120 = 6 \).
- Bring down the next digit (0): Now we have 60.
4. Final step:
- How many times does 15 go into 60? It goes 4 times because \( 15 \times 4 = 60 \).
- Subtract: \( 60 - 60 = 0 \).
5. Final result:
- The quotient is 584, and there is no remainder.
\[
\boxed{584}
\]
---
Problem 3: \( 11 \div 4587 \)
1. Set up the division:
\[
11 \longdiv{4587}
\]
2. Divide:
- How many times does 11 go into 45? It goes 4 times because \( 11 \times 4 = 44 \).
- Subtract: \( 45 - 44 = 1 \).
- Bring down the next digit (8): Now we have 18.
3. Continue dividing:
- How many times does 11 go into 18? It goes 1 time because \( 11 \times 1 = 11 \).
- Subtract: \( 18 - 11 = 7 \).
- Bring down the next digit (7): Now we have 77.
4. Final step:
- How many times does 11 go into 77? It goes 7 times because \( 11 \times 7 = 77 \).
- Subtract: \( 77 - 77 = 0 \).
5. Final result:
- The quotient is 417, and there is no remainder.
\[
\boxed{417}
\]
---
Problem 4: \( 17 \div 8024 \)
1. Set up the division:
\[
17 \longdiv{8024}
\]
2. Divide:
- How many times does 17 go into 80? It goes 4 times because \( 17 \times 4 = 68 \).
- Subtract: \( 80 - 68 = 12 \).
- Bring down the next digit (2): Now we have 122.
3. Continue dividing:
- How many times does 17 go into 122? It goes 7 times because \( 17 \times 7 = 119 \).
- Subtract: \( 122 - 119 = 3 \).
- Bring down the next digit (4): Now we have 34.
4. Final step:
- How many times does 17 go into 34? It goes 2 times because \( 17 \times 2 = 34 \).
- Subtract: \( 34 - 34 = 0 \).
5. Final result:
- The quotient is 472, and there is no remainder.
\[
\boxed{472}
\]
---
Problem 5: \( 10 \div 7670 \)
1. Set up the division:
\[
10 \longdiv{7670}
\]
2. Divide:
- How many times does 10 go into 76? It goes 7 times because \( 10 \times 7 = 70 \).
- Subtract: \( 76 - 70 = 6 \).
- Bring down the next digit (7): Now we have 67.
3. Continue dividing:
- How many times does 10 go into 67? It goes 6 times because \( 10 \times 6 = 60 \).
- Subtract: \( 67 - 60 = 7 \).
- Bring down the next digit (0): Now we have 70.
4. Final step:
- How many times does 10 go into 70? It goes 7 times because \( 10 \times 7 = 70 \).
- Subtract: \( 70 - 70 = 0 \).
5. Final result:
- The quotient is 767, and there is no remainder.
\[
\boxed{767}
\]
---
Problem 6: \( 18 \div 5904 \)
1. Set up the division:
\[
18 \longdiv{5904}
\]
2. Divide:
- How many times does 18 go into 59? It goes 3 times because \( 18 \times 3 = 54 \).
- Subtract: \( 59 - 54 = 5 \).
- Bring down the next digit (0): Now we have 50.
3. Continue dividing:
- How many times does 18 go into 50? It goes 2 times because \( 18 \times 2 = 36 \).
- Subtract: \( 50 - 36 = 14 \).
- Bring down the next digit (4): Now we have 144.
4. Final step:
- How many times does 18 go into 144? It goes 8 times because \( 18 \times 8 = 144 \).
- Subtract: \( 144 - 144 = 0 \).
5. Final result:
- The quotient is 328, and there is no remainder.
\[
\boxed{328}
\]
---
Final Answers:
\[
\boxed{410, 584, 417, 472, 767, 328}
\]
Parent Tip: Review the logic above to help your child master the concept of zeros in the quotient worksheet.