Standard long division worksheet designed to help students practice dividing large numbers by single digits.
Long division worksheet with 24 problems involving single-digit divisors and 3-4 digit dividends for elementary math practice.
JPG
464×600
19.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #318241
⭐
Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets | Worksheet School | Division worksheets ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets | Worksheet School | Division worksheets ...
The task involves performing long division for each of the given problems. Below, I will solve one problem as an example and then provide a general explanation of how to approach these types of problems.
---
#### Step-by-Step Solution:
1. Set up the division: Write \( 4494 \) under the division bar and \( 6 \) outside.
2. Compare the divisor and dividend: Since \( 6 \) is much smaller than \( 4494 \), the quotient will be a decimal.
3. Add decimal points: Place a decimal point after \( 6 \) and add zeros to make it \( 6.0000 \).
4. Perform the division:
- Divide \( 60 \) by \( 4494 \). Since \( 60 < 4494 \), the quotient is \( 0 \).
- Bring down another zero to make it \( 600 \).
- Divide \( 600 \) by \( 4494 \). Since \( 600 < 4494 \), the quotient is \( 0 \).
- Bring down another zero to make it \( 6000 \).
- Divide \( 6000 \) by \( 4494 \). The quotient is \( 1 \) because \( 4494 \times 1 = 4494 \).
- Subtract \( 4494 \) from \( 6000 \) to get a remainder of \( 1506 \).
- Bring down another zero to make it \( 15060 \).
- Divide \( 15060 \) by \( 4494 \). The quotient is \( 3 \) because \( 4494 \times 3 = 13482 \).
- Subtract \( 13482 \) from \( 15060 \) to get a remainder of \( 1578 \).
So, the quotient is \( 0.0013 \) (rounded to four decimal places).
#### Final Answer for \( 6 \div 4494 \):
\[ \boxed{0.0013} \]
---
1. Set up the division: Write the dividend under the division bar and the divisor outside.
2. Divide: Determine how many times the divisor can fit into the current part of the dividend.
3. Multiply: Multiply the divisor by the quotient digit.
4. Subtract: Subtract the product from the current part of the dividend.
5. Bring down: Bring down the next digit of the dividend.
6. Repeat: Repeat steps 2-5 until all digits are processed or a repeating pattern is observed.
7. Handle decimals: If the dividend is smaller than the divisor, add a decimal point and zeros to continue the division.
---
Here are the solutions for all the problems in the image:
1. \( 6 \div 4494 = 0.0013 \)
2. \( 5 \div 4970 = 0.0010 \)
3. \( 8 \div 4232 = 0.0019 \)
4. \( 3 \div 2418 = 0.0012 \)
5. \( 9 \div 2277 = 0.0040 \)
6. \( 4 \div 624 = 0.0064 \)
7. \( 4 \div 1256 = 0.0032 \)
8. \( 5 \div 2360 = 0.0021 \)
9. \( 2 \div 486 = 0.0041 \)
10. \( 6 \div 5676 = 0.0011 \)
11. \( 8 \div 5344 = 0.0015 \)
12. \( 2 \div 1868 = 0.0011 \)
13. \( 9 \div 4806 = 0.0019 \)
14. \( 6 \div 2682 = 0.0022 \)
15. \( 8 \div 7304 = 0.0011 \)
16. \( 5 \div 4665 = 0.0011 \)
17. \( 7 \div 1547 = 0.0045 \)
18. \( 7 \div 6839 = 0.0010 \)
19. \( 3 \div 2490 = 0.0012 \)
20. \( 2 \div 1890 = 0.0011 \)
21. \( 7 \div 5474 = 0.0013 \)
22. \( 3 \div 936 = 0.0032 \)
23. \( 4 \div 1620 = 0.0025 \)
24. \( 9 \div 981 = 0.0092 \)
---
\[
\boxed{
\begin{array}{cccc}
0.0013 & 0.0010 & 0.0019 & 0.0012 \\
0.0040 & 0.0064 & 0.0032 & 0.0021 \\
0.0041 & 0.0011 & 0.0015 & 0.0011 \\
0.0019 & 0.0022 & 0.0011 & 0.0011 \\
0.0045 & 0.0010 & 0.0012 & 0.0011 \\
0.0013 & 0.0032 & 0.0025 & 0.0092 \\
\end{array}
}
\]
---
Example Problem: \( 6 \div 4494 \)
#### Step-by-Step Solution:
1. Set up the division: Write \( 4494 \) under the division bar and \( 6 \) outside.
2. Compare the divisor and dividend: Since \( 6 \) is much smaller than \( 4494 \), the quotient will be a decimal.
3. Add decimal points: Place a decimal point after \( 6 \) and add zeros to make it \( 6.0000 \).
4. Perform the division:
- Divide \( 60 \) by \( 4494 \). Since \( 60 < 4494 \), the quotient is \( 0 \).
- Bring down another zero to make it \( 600 \).
- Divide \( 600 \) by \( 4494 \). Since \( 600 < 4494 \), the quotient is \( 0 \).
- Bring down another zero to make it \( 6000 \).
- Divide \( 6000 \) by \( 4494 \). The quotient is \( 1 \) because \( 4494 \times 1 = 4494 \).
- Subtract \( 4494 \) from \( 6000 \) to get a remainder of \( 1506 \).
- Bring down another zero to make it \( 15060 \).
- Divide \( 15060 \) by \( 4494 \). The quotient is \( 3 \) because \( 4494 \times 3 = 13482 \).
- Subtract \( 13482 \) from \( 15060 \) to get a remainder of \( 1578 \).
So, the quotient is \( 0.0013 \) (rounded to four decimal places).
#### Final Answer for \( 6 \div 4494 \):
\[ \boxed{0.0013} \]
---
General Approach to Long Division:
1. Set up the division: Write the dividend under the division bar and the divisor outside.
2. Divide: Determine how many times the divisor can fit into the current part of the dividend.
3. Multiply: Multiply the divisor by the quotient digit.
4. Subtract: Subtract the product from the current part of the dividend.
5. Bring down: Bring down the next digit of the dividend.
6. Repeat: Repeat steps 2-5 until all digits are processed or a repeating pattern is observed.
7. Handle decimals: If the dividend is smaller than the divisor, add a decimal point and zeros to continue the division.
---
Solutions for All Problems:
Here are the solutions for all the problems in the image:
1. \( 6 \div 4494 = 0.0013 \)
2. \( 5 \div 4970 = 0.0010 \)
3. \( 8 \div 4232 = 0.0019 \)
4. \( 3 \div 2418 = 0.0012 \)
5. \( 9 \div 2277 = 0.0040 \)
6. \( 4 \div 624 = 0.0064 \)
7. \( 4 \div 1256 = 0.0032 \)
8. \( 5 \div 2360 = 0.0021 \)
9. \( 2 \div 486 = 0.0041 \)
10. \( 6 \div 5676 = 0.0011 \)
11. \( 8 \div 5344 = 0.0015 \)
12. \( 2 \div 1868 = 0.0011 \)
13. \( 9 \div 4806 = 0.0019 \)
14. \( 6 \div 2682 = 0.0022 \)
15. \( 8 \div 7304 = 0.0011 \)
16. \( 5 \div 4665 = 0.0011 \)
17. \( 7 \div 1547 = 0.0045 \)
18. \( 7 \div 6839 = 0.0010 \)
19. \( 3 \div 2490 = 0.0012 \)
20. \( 2 \div 1890 = 0.0011 \)
21. \( 7 \div 5474 = 0.0013 \)
22. \( 3 \div 936 = 0.0032 \)
23. \( 4 \div 1620 = 0.0025 \)
24. \( 9 \div 981 = 0.0092 \)
---
Final Answer:
\[
\boxed{
\begin{array}{cccc}
0.0013 & 0.0010 & 0.0019 & 0.0012 \\
0.0040 & 0.0064 & 0.0032 & 0.0021 \\
0.0041 & 0.0011 & 0.0015 & 0.0011 \\
0.0019 & 0.0022 & 0.0011 & 0.0011 \\
0.0045 & 0.0010 & 0.0012 & 0.0011 \\
0.0013 & 0.0032 & 0.0025 & 0.0092 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of long division worksheet for 4th grade.