Long Division Worksheets & Problems (Free Printable Math Drills ... - Free Printable
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Step-by-step solution for: Long Division Worksheets & Problems (Free Printable Math Drills ...
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets & Problems (Free Printable Math Drills ...
To solve the long division problems, we will divide each 4-digit number by the given 1-digit divisor. Let's go through each problem step by step.
1. Divide 8 by 6: \( 8 \div 6 = 1 \) remainder 2.
2. Bring down 1: \( 21 \div 6 = 3 \) remainder 3.
3. Bring down 4: \( 34 \div 6 = 5 \) remainder 4.
4. Bring down 2: \( 42 \div 6 = 7 \) remainder 0.
So, \( 8142 \div 6 = 1357 \).
1. Divide 3 by 5: \( 3 \div 5 = 0 \) remainder 3.
2. Bring down 5: \( 35 \div 5 = 7 \) remainder 0.
3. Bring down 0: \( 0 \div 5 = 0 \) remainder 0.
4. Bring down 5: \( 5 \div 5 = 1 \) remainder 0.
So, \( 3505 \div 5 = 701 \).
1. Divide 8 by 6: \( 8 \div 6 = 1 \) remainder 2.
2. Bring down 6: \( 26 \div 6 = 4 \) remainder 2.
3. Bring down 4: \( 24 \div 6 = 4 \) remainder 0.
4. Bring down 0: \( 0 \div 6 = 0 \) remainder 0.
So, \( 8640 \div 6 = 1440 \).
1. Divide 8 by 2: \( 8 \div 2 = 4 \) remainder 0.
2. Bring down 2: \( 2 \div 2 = 1 \) remainder 0.
3. Bring down 0: \( 0 \div 2 = 0 \) remainder 0.
4. Bring down 2: \( 2 \div 2 = 1 \) remainder 0.
So, \( 8202 \div 2 = 4101 \).
1. Divide 1 by 4: \( 1 \div 4 = 0 \) remainder 1.
2. Bring down 8: \( 18 \div 4 = 4 \) remainder 2.
3. Bring down 0: \( 20 \div 4 = 5 \) remainder 0.
4. Bring down 4: \( 4 \div 4 = 1 \) remainder 0.
So, \( 1804 \div 4 = 451 \).
1. Divide 2 by 3: \( 2 \div 3 = 0 \) remainder 2.
2. Bring down 2: \( 22 \div 3 = 7 \) remainder 1.
3. Bring down 7: \( 17 \div 3 = 5 \) remainder 2.
4. Bring down 1: \( 21 \div 3 = 7 \) remainder 0.
So, \( 2271 \div 3 = 757 \).
1. Divide 8 by 5: \( 8 \div 5 = 1 \) remainder 3.
2. Bring down 1: \( 31 \div 5 = 6 \) remainder 1.
3. Bring down 3: \( 13 \div 5 = 2 \) remainder 3.
4. Bring down 0: \( 30 \div 5 = 6 \) remainder 0.
So, \( 8130 \div 5 = 1626 \).
1. Divide 4 by 7: \( 4 \div 7 = 0 \) remainder 4.
2. Bring down 0: \( 40 \div 7 = 5 \) remainder 5.
3. Bring down 8: \( 58 \div 7 = 8 \) remainder 2.
4. Bring down 8: \( 28 \div 7 = 4 \) remainder 0.
So, \( 4088 \div 7 = 584 \).
1. Divide 7 by 7: \( 7 \div 7 = 1 \) remainder 0.
2. Bring down 2: \( 2 \div 7 = 0 \) remainder 2.
3. Bring down 1: \( 21 \div 7 = 3 \) remainder 0.
4. Bring down 0: \( 0 \div 7 = 0 \) remainder 0.
So, \( 7210 \div 7 = 1030 \).
1. Divide 3 by 2: \( 3 \div 2 = 1 \) remainder 1.
2. Bring down 7: \( 17 \div 2 = 8 \) remainder 1.
3. Bring down 3: \( 13 \div 2 = 6 \) remainder 1.
4. Bring down 0: \( 10 \div 2 = 5 \) remainder 0.
So, \( 3730 \div 2 = 1865 \).
1. Divide 3 by 8: \( 3 \div 8 = 0 \) remainder 3.
2. Bring down 4: \( 34 \div 8 = 4 \) remainder 2.
3. Bring down 0: \( 20 \div 8 = 2 \) remainder 4.
4. Bring down 8: \( 48 \div 8 = 6 \) remainder 0.
So, \( 3408 \div 8 = 426 \).
1. Divide 7 by 9: \( 7 \div 9 = 0 \) remainder 7.
2. Bring down 6: \( 76 \div 9 = 8 \) remainder 4.
3. Bring down 1: \( 41 \div 9 = 4 \) remainder 5.
4. Bring down 4: \( 54 \div 9 = 6 \) remainder 0.
So, \( 7614 \div 9 = 846 \).
\[
\boxed{1357, 701, 1440, 4101, 451, 757, 1626, 584, 1030, 1865, 426, 846}
\]
Problem 1: \( 8142 \div 6 \)
1. Divide 8 by 6: \( 8 \div 6 = 1 \) remainder 2.
2. Bring down 1: \( 21 \div 6 = 3 \) remainder 3.
3. Bring down 4: \( 34 \div 6 = 5 \) remainder 4.
4. Bring down 2: \( 42 \div 6 = 7 \) remainder 0.
So, \( 8142 \div 6 = 1357 \).
Problem 2: \( 3505 \div 5 \)
1. Divide 3 by 5: \( 3 \div 5 = 0 \) remainder 3.
2. Bring down 5: \( 35 \div 5 = 7 \) remainder 0.
3. Bring down 0: \( 0 \div 5 = 0 \) remainder 0.
4. Bring down 5: \( 5 \div 5 = 1 \) remainder 0.
So, \( 3505 \div 5 = 701 \).
Problem 3: \( 8640 \div 6 \)
1. Divide 8 by 6: \( 8 \div 6 = 1 \) remainder 2.
2. Bring down 6: \( 26 \div 6 = 4 \) remainder 2.
3. Bring down 4: \( 24 \div 6 = 4 \) remainder 0.
4. Bring down 0: \( 0 \div 6 = 0 \) remainder 0.
So, \( 8640 \div 6 = 1440 \).
Problem 4: \( 8202 \div 2 \)
1. Divide 8 by 2: \( 8 \div 2 = 4 \) remainder 0.
2. Bring down 2: \( 2 \div 2 = 1 \) remainder 0.
3. Bring down 0: \( 0 \div 2 = 0 \) remainder 0.
4. Bring down 2: \( 2 \div 2 = 1 \) remainder 0.
So, \( 8202 \div 2 = 4101 \).
Problem 5: \( 1804 \div 4 \)
1. Divide 1 by 4: \( 1 \div 4 = 0 \) remainder 1.
2. Bring down 8: \( 18 \div 4 = 4 \) remainder 2.
3. Bring down 0: \( 20 \div 4 = 5 \) remainder 0.
4. Bring down 4: \( 4 \div 4 = 1 \) remainder 0.
So, \( 1804 \div 4 = 451 \).
Problem 6: \( 2271 \div 3 \)
1. Divide 2 by 3: \( 2 \div 3 = 0 \) remainder 2.
2. Bring down 2: \( 22 \div 3 = 7 \) remainder 1.
3. Bring down 7: \( 17 \div 3 = 5 \) remainder 2.
4. Bring down 1: \( 21 \div 3 = 7 \) remainder 0.
So, \( 2271 \div 3 = 757 \).
Problem 7: \( 8130 \div 5 \)
1. Divide 8 by 5: \( 8 \div 5 = 1 \) remainder 3.
2. Bring down 1: \( 31 \div 5 = 6 \) remainder 1.
3. Bring down 3: \( 13 \div 5 = 2 \) remainder 3.
4. Bring down 0: \( 30 \div 5 = 6 \) remainder 0.
So, \( 8130 \div 5 = 1626 \).
Problem 8: \( 4088 \div 7 \)
1. Divide 4 by 7: \( 4 \div 7 = 0 \) remainder 4.
2. Bring down 0: \( 40 \div 7 = 5 \) remainder 5.
3. Bring down 8: \( 58 \div 7 = 8 \) remainder 2.
4. Bring down 8: \( 28 \div 7 = 4 \) remainder 0.
So, \( 4088 \div 7 = 584 \).
Problem 9: \( 7210 \div 7 \)
1. Divide 7 by 7: \( 7 \div 7 = 1 \) remainder 0.
2. Bring down 2: \( 2 \div 7 = 0 \) remainder 2.
3. Bring down 1: \( 21 \div 7 = 3 \) remainder 0.
4. Bring down 0: \( 0 \div 7 = 0 \) remainder 0.
So, \( 7210 \div 7 = 1030 \).
Problem 10: \( 3730 \div 2 \)
1. Divide 3 by 2: \( 3 \div 2 = 1 \) remainder 1.
2. Bring down 7: \( 17 \div 2 = 8 \) remainder 1.
3. Bring down 3: \( 13 \div 2 = 6 \) remainder 1.
4. Bring down 0: \( 10 \div 2 = 5 \) remainder 0.
So, \( 3730 \div 2 = 1865 \).
Problem 11: \( 3408 \div 8 \)
1. Divide 3 by 8: \( 3 \div 8 = 0 \) remainder 3.
2. Bring down 4: \( 34 \div 8 = 4 \) remainder 2.
3. Bring down 0: \( 20 \div 8 = 2 \) remainder 4.
4. Bring down 8: \( 48 \div 8 = 6 \) remainder 0.
So, \( 3408 \div 8 = 426 \).
Problem 12: \( 7614 \div 9 \)
1. Divide 7 by 9: \( 7 \div 9 = 0 \) remainder 7.
2. Bring down 6: \( 76 \div 9 = 8 \) remainder 4.
3. Bring down 1: \( 41 \div 9 = 4 \) remainder 5.
4. Bring down 4: \( 54 \div 9 = 6 \) remainder 0.
So, \( 7614 \div 9 = 846 \).
Final Answers:
\[
\boxed{1357, 701, 1440, 4101, 451, 757, 1626, 584, 1030, 1865, 426, 846}
\]
Parent Tip: Review the logic above to help your child master the concept of division worksheet high school.