Long Division Worksheets| Download Free Printables For Kids - Free Printable
Educational worksheet: Long Division Worksheets| Download Free Printables For Kids. Download and print for classroom or home learning activities.
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Step-by-step solution for: Long Division Worksheets| Download Free Printables For Kids
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets| Download Free Printables For Kids
Here are the step-by-step solutions for each long division problem.
1) $244.51 \div 43$
* First, divide 244 by 43. $43 \times 5 = 215$.
* Subtract: $244 - 215 = 29$.
* Bring down the 5 to make 295. Place a decimal point in your answer.
* Divide 295 by 43. $43 \times 6 = 258$.
* Subtract: $295 - 258 = 37$.
* Bring down the 1 to make 371.
* Divide 371 by 43. $43 \times 8 = 344$.
* Subtract: $371 - 344 = 27$.
* Add a zero to make 270.
* Divide 270 by 43. $43 \times 6 = 258$.
* Subtract: $270 - 258 = 12$.
* Add a zero to make 120.
* Divide 120 by 43. $43 \times 2 = 86$.
* The result is approximately 5.686... (or $5.68$ rounded). Let's look closer at the subtraction.
* Wait, let me re-check $43 \times 5.686$.
* Actually, usually these worksheets result in cleaner numbers or simple remainders. Let's re-calculate carefully.
* $244.51 / 43$:
* $244 / 43 = 5$ rem $29$.
* $295 / 43 = 6$ rem $37$. ($43 \times 6 = 258$, $295-258=37$). Correct.
* $371 / 43 = 8$ rem $27$. ($43 \times 8 = 344$, $371-344=27$). Correct.
* $270 / 43 = 6$ rem $12$. ($43 \times 6 = 258$, $270-258=12$). Correct.
* $120 / 43 = 2$ rem $34$. ($43 \times 2 = 86$, $120-86=34$).
* So the answer is roughly 5.6862.
Let's check the other problems to see if they have simpler decimal endings. Often "Decimal long division" implies terminating decimals. Let me double check my arithmetic for #1.
$43 \times 5.6862...$
Is it possible I made an error?
$244.51 / 43$.
$43 \times 5 = 215$. Remainder 29.
Bring down 5 -> 295.
$43 \times 6 = 258$. Remainder 37.
Bring down 1 -> 371.
$43 \times 8 = 344$. Remainder 27.
Bring down 0 -> 270.
$43 \times 6 = 258$. Remainder 12.
Bring down 0 -> 120.
$43 \times 2 = 86$. Remainder 34.
It does not terminate cleanly. I will provide the answer rounded to two decimal places: 5.69.
2) $655.63 \div 53$
* Divide 65 by 53. $53 \times 1 = 53$.
* Subtract: $65 - 53 = 12$.
* Bring down the 5 to make 125.
* Divide 125 by 53. $53 \times 2 = 106$.
* Subtract: $125 - 106 = 19$.
* Bring down the 6 (after decimal) to make 196. Place decimal in answer.
* Divide 196 by 53. $53 \times 3 = 159$.
* Subtract: $196 - 159 = 37$.
* Bring down the 3 to make 373.
* Divide 373 by 53. $53 \times 7 = 371$.
* Subtract: $373 - 371 = 2$.
* This also has a remainder. $20 / 53 = 0$. $200 / 53 = 3$ ($159$). Rem 41.
* Answer is approx 12.37.
Let me re-read the numbers. Maybe I am misinterpreting the image text?
1) $244.51 / 43$
2) $655.63 / 53$
3) $897.93 / 54$
4) $432.67 / 23$
5) $567.98 / 34$
6) $679.99 / 45$
Let's try #4, maybe that one is clean.
$432.67 / 23$
$43 / 23 = 1$ rem 20.
$202 / 23 = 8$ ($23 \times 8 = 184$). Rem 18.
$186 / 23 = 8$ ($23 \times 8 = 184$). Rem 2.
$27 / 23 = 1$ rem 4.
Not clean.
Let's try #5.
$567.98 / 34$
$56 / 34 = 1$ rem 22.
$227 / 34 = 6$ ($34 \times 6 = 204$). Rem 23.
$239 / 34 = 7$ ($34 \times 7 = 238$). Rem 1.
$18 / 34 = 0$.
$180 / 34 = 5$ ($34 \times 5 = 170$). Rem 10.
Not clean.
Let's try #6.
$679.99 / 45$
$67 / 45 = 1$ rem 22.
$229 / 45 = 5$ ($45 \times 5 = 225$). Rem 4.
$49 / 45 = 1$ rem 4.
$49 / 45 = 1$ rem 4.
Repeating decimal.
It seems none of these result in perfect terminating decimals with just 2 decimal places. I will provide the answers rounded to two decimal places, which is standard for money/decimal worksheets unless specified otherwise.
Recalculating all carefully for final output:
Problem 1: $244.51 \div 43$
$244 \div 43 = 5$ with remainder $29$.
$295 \div 43 = 6$ with remainder $37$.
$371 \div 43 = 8$ with remainder $27$.
$270 \div 43 = 6$ with remainder $12$.
$120 \div 43 = 2$ with remainder $34$.
Result: $5.6862...$ $\rightarrow$ 5.69
Problem 2: $655.63 \div 53$
$65 \div 53 = 1$ with remainder $12$.
$125 \div 53 = 2$ with remainder $19$.
$196 \div 53 = 3$ with remainder $37$.
$373 \div 53 = 7$ with remainder $2$.
$20 \div 53 = 0$ with remainder $20$.
$200 \div 53 = 3$ with remainder $41$.
Result: $12.3703...$ $\rightarrow$ 12.37
Problem 3: $897.93 \div 54$
$89 \div 54 = 1$ with remainder $35$.
$357 \div 54 = 6$ ($54 \times 6 = 324$) with remainder $33$.
$339 \div 54 = 6$ ($54 \times 6 = 324$) with remainder $15$.
$153 \div 54 = 2$ ($54 \times 2 = 108$) with remainder $45$.
$450 \div 54 = 8$ ($54 \times 8 = 432$) with remainder $18$.
$180 \div 54 = 3$ ($54 \times 3 = 162$) with remainder $18$.
Result: $16.6283...$ $\rightarrow$ 16.63
Problem 4: $432.67 \div 23$
$43 \div 23 = 1$ with remainder $20$.
$202 \div 23 = 8$ ($23 \times 8 = 184$) with remainder $18$.
$186 \div 23 = 8$ ($23 \times 8 = 184$) with remainder $2$.
$27 \div 23 = 1$ with remainder $4$.
$40 \div 23 = 1$ with remainder $17$.
$170 \div 23 = 7$ ($23 \times 7 = 161$) with remainder $9$.
Result: $18.8117...$ $\rightarrow$ 18.81
Problem 5: $567.98 \div 34$
$56 \div 34 = 1$ with remainder $22$.
$227 \div 34 = 6$ ($34 \times 6 = 204$) with remainder $23$.
$239 \div 34 = 7$ ($34 \times 7 = 238$) with remainder $1$.
$18 \div 34 = 0$ with remainder $18$.
$180 \div 34 = 5$ ($34 \times 5 = 170$) with remainder $10$.
$100 \div 34 = 2$ ($34 \times 2 = 68$) with remainder $32$.
Result: $16.7052...$ $\rightarrow$ 16.71
Problem 6: $679.99 \div 45$
$67 \div 45 = 1$ with remainder $22$.
$229 \div 45 = 5$ ($45 \times 5 = 225$) with remainder $4$.
$49 \div 45 = 1$ with remainder $4$.
$49 \div 45 = 1$ with remainder $4$.
Result: $15.111...$ $\rightarrow$ 15.11
Final Answer:
1) 5.69
2) 12.37
3) 16.63
4) 18.81
5) 16.71
6) 15.11
1) $244.51 \div 43$
* First, divide 244 by 43. $43 \times 5 = 215$.
* Subtract: $244 - 215 = 29$.
* Bring down the 5 to make 295. Place a decimal point in your answer.
* Divide 295 by 43. $43 \times 6 = 258$.
* Subtract: $295 - 258 = 37$.
* Bring down the 1 to make 371.
* Divide 371 by 43. $43 \times 8 = 344$.
* Subtract: $371 - 344 = 27$.
* Add a zero to make 270.
* Divide 270 by 43. $43 \times 6 = 258$.
* Subtract: $270 - 258 = 12$.
* Add a zero to make 120.
* Divide 120 by 43. $43 \times 2 = 86$.
* The result is approximately 5.686... (or $5.68$ rounded). Let's look closer at the subtraction.
* Wait, let me re-check $43 \times 5.686$.
* Actually, usually these worksheets result in cleaner numbers or simple remainders. Let's re-calculate carefully.
* $244.51 / 43$:
* $244 / 43 = 5$ rem $29$.
* $295 / 43 = 6$ rem $37$. ($43 \times 6 = 258$, $295-258=37$). Correct.
* $371 / 43 = 8$ rem $27$. ($43 \times 8 = 344$, $371-344=27$). Correct.
* $270 / 43 = 6$ rem $12$. ($43 \times 6 = 258$, $270-258=12$). Correct.
* $120 / 43 = 2$ rem $34$. ($43 \times 2 = 86$, $120-86=34$).
* So the answer is roughly 5.6862.
Let's check the other problems to see if they have simpler decimal endings. Often "Decimal long division" implies terminating decimals. Let me double check my arithmetic for #1.
$43 \times 5.6862...$
Is it possible I made an error?
$244.51 / 43$.
$43 \times 5 = 215$. Remainder 29.
Bring down 5 -> 295.
$43 \times 6 = 258$. Remainder 37.
Bring down 1 -> 371.
$43 \times 8 = 344$. Remainder 27.
Bring down 0 -> 270.
$43 \times 6 = 258$. Remainder 12.
Bring down 0 -> 120.
$43 \times 2 = 86$. Remainder 34.
It does not terminate cleanly. I will provide the answer rounded to two decimal places: 5.69.
2) $655.63 \div 53$
* Divide 65 by 53. $53 \times 1 = 53$.
* Subtract: $65 - 53 = 12$.
* Bring down the 5 to make 125.
* Divide 125 by 53. $53 \times 2 = 106$.
* Subtract: $125 - 106 = 19$.
* Bring down the 6 (after decimal) to make 196. Place decimal in answer.
* Divide 196 by 53. $53 \times 3 = 159$.
* Subtract: $196 - 159 = 37$.
* Bring down the 3 to make 373.
* Divide 373 by 53. $53 \times 7 = 371$.
* Subtract: $373 - 371 = 2$.
* This also has a remainder. $20 / 53 = 0$. $200 / 53 = 3$ ($159$). Rem 41.
* Answer is approx 12.37.
Let me re-read the numbers. Maybe I am misinterpreting the image text?
1) $244.51 / 43$
2) $655.63 / 53$
3) $897.93 / 54$
4) $432.67 / 23$
5) $567.98 / 34$
6) $679.99 / 45$
Let's try #4, maybe that one is clean.
$432.67 / 23$
$43 / 23 = 1$ rem 20.
$202 / 23 = 8$ ($23 \times 8 = 184$). Rem 18.
$186 / 23 = 8$ ($23 \times 8 = 184$). Rem 2.
$27 / 23 = 1$ rem 4.
Not clean.
Let's try #5.
$567.98 / 34$
$56 / 34 = 1$ rem 22.
$227 / 34 = 6$ ($34 \times 6 = 204$). Rem 23.
$239 / 34 = 7$ ($34 \times 7 = 238$). Rem 1.
$18 / 34 = 0$.
$180 / 34 = 5$ ($34 \times 5 = 170$). Rem 10.
Not clean.
Let's try #6.
$679.99 / 45$
$67 / 45 = 1$ rem 22.
$229 / 45 = 5$ ($45 \times 5 = 225$). Rem 4.
$49 / 45 = 1$ rem 4.
$49 / 45 = 1$ rem 4.
Repeating decimal.
It seems none of these result in perfect terminating decimals with just 2 decimal places. I will provide the answers rounded to two decimal places, which is standard for money/decimal worksheets unless specified otherwise.
Recalculating all carefully for final output:
Problem 1: $244.51 \div 43$
$244 \div 43 = 5$ with remainder $29$.
$295 \div 43 = 6$ with remainder $37$.
$371 \div 43 = 8$ with remainder $27$.
$270 \div 43 = 6$ with remainder $12$.
$120 \div 43 = 2$ with remainder $34$.
Result: $5.6862...$ $\rightarrow$ 5.69
Problem 2: $655.63 \div 53$
$65 \div 53 = 1$ with remainder $12$.
$125 \div 53 = 2$ with remainder $19$.
$196 \div 53 = 3$ with remainder $37$.
$373 \div 53 = 7$ with remainder $2$.
$20 \div 53 = 0$ with remainder $20$.
$200 \div 53 = 3$ with remainder $41$.
Result: $12.3703...$ $\rightarrow$ 12.37
Problem 3: $897.93 \div 54$
$89 \div 54 = 1$ with remainder $35$.
$357 \div 54 = 6$ ($54 \times 6 = 324$) with remainder $33$.
$339 \div 54 = 6$ ($54 \times 6 = 324$) with remainder $15$.
$153 \div 54 = 2$ ($54 \times 2 = 108$) with remainder $45$.
$450 \div 54 = 8$ ($54 \times 8 = 432$) with remainder $18$.
$180 \div 54 = 3$ ($54 \times 3 = 162$) with remainder $18$.
Result: $16.6283...$ $\rightarrow$ 16.63
Problem 4: $432.67 \div 23$
$43 \div 23 = 1$ with remainder $20$.
$202 \div 23 = 8$ ($23 \times 8 = 184$) with remainder $18$.
$186 \div 23 = 8$ ($23 \times 8 = 184$) with remainder $2$.
$27 \div 23 = 1$ with remainder $4$.
$40 \div 23 = 1$ with remainder $17$.
$170 \div 23 = 7$ ($23 \times 7 = 161$) with remainder $9$.
Result: $18.8117...$ $\rightarrow$ 18.81
Problem 5: $567.98 \div 34$
$56 \div 34 = 1$ with remainder $22$.
$227 \div 34 = 6$ ($34 \times 6 = 204$) with remainder $23$.
$239 \div 34 = 7$ ($34 \times 7 = 238$) with remainder $1$.
$18 \div 34 = 0$ with remainder $18$.
$180 \div 34 = 5$ ($34 \times 5 = 170$) with remainder $10$.
$100 \div 34 = 2$ ($34 \times 2 = 68$) with remainder $32$.
Result: $16.7052...$ $\rightarrow$ 16.71
Problem 6: $679.99 \div 45$
$67 \div 45 = 1$ with remainder $22$.
$229 \div 45 = 5$ ($45 \times 5 = 225$) with remainder $4$.
$49 \div 45 = 1$ with remainder $4$.
$49 \div 45 = 1$ with remainder $4$.
Result: $15.111...$ $\rightarrow$ 15.11
Final Answer:
1) 5.69
2) 12.37
3) 16.63
4) 18.81
5) 16.71
6) 15.11
Parent Tip: Review the logic above to help your child master the concept of dividing large numbers worksheet.