Step-by-Step Division Solver
Long Division Calculator That Shows Work
Divide numbers and see the long division work clearly. This calculator shows the divide, multiply, subtract, and bring down steps with quotient and remainder.
Best for students who want to understand long division steps instead of only getting the final quotient.
Long Division Example
156 ÷ 12
Step 1: Divide 15 by 12.
12 goes into 15 one time
Step 2: Multiply and subtract.
1 × 12 = 12, then 15 − 12 = 3
Step 3: Bring down 6 and divide again.
36 ÷ 12 = 3
Long Division Calculator With Steps
Enter a dividend and divisor to see long division work
Use this calculator to divide whole numbers and understand the long division process. It shows quotient, remainder, division steps, multiplication steps, subtraction steps, and bring-down logic.
What this calculator shows
It shows how many times the divisor fits, what to multiply, what to subtract, when to bring down the next digit, and whether there is a remainder.
Long Division Work
Ready to divide
Enter a dividend and divisor, then click “Show Long Division Work” to see the steps.
Need simple arithmetic steps? Try the Basic Calculator That Shows Work. For broader math questions, use the Calculator That Shows Work.
How It Shows Work
It breaks division into the full long division process
Long division is not only about getting the quotient. This calculator shows each divide, multiply, subtract, and bring-down step so the method becomes easier to follow.
Reads the dividend and divisor
Enter the number being divided and the number you are dividing by. The calculator identifies the dividend, divisor, quotient, and remainder.
Divides one part at a time
The calculator checks how many times the divisor fits into the current number, then writes that value into the quotient.
Shows multiply and subtract steps
After dividing, it multiplies the quotient digit by the divisor, subtracts the result, and shows what remains before moving forward.
Brings down the next digit
The calculator continues by bringing down the next digit until the full division is complete and the final quotient and remainder are clear.
Division Terms
Dividend, divisor, quotient, and remainder explained
Long division becomes easier when you understand the basic terms. These four words explain what number is being divided, what number divides it, what answer you get, and what is left over.
Term 1
Dividend
The dividend is the number being divided. In 156 ÷ 12, the dividend is 156.
Dividend = the number you start with
Term 2
Divisor
The divisor is the number you divide by. In 156 ÷ 12, the divisor is 12.
Divisor = the number doing the dividing
Term 3
Quotient
The quotient is the answer you get after division. In 156 ÷ 12 = 13, the quotient is 13.
Quotient = the division answer
Term 4
Remainder
The remainder is the amount left after division when the dividend cannot be divided evenly. In 725 ÷ 6, the quotient is 120 and the remainder is 5.
Remainder = what is left over
Simple example
In 156 ÷ 12 = 13, 156 is the dividend, 12 is the divisor, 13 is the quotient, and the remainder is 0. Use the long division calculator above to see these terms in action.
Long Division Examples
Long division examples with step-by-step work
These examples show how long division works when the answer is exact and when there is a remainder.
Example 1
156 ÷ 12
Step 1: 12 goes into 15 one time.
Step 2: 1 × 12 = 12, then 15 − 12 = 3.
Step 3: Bring down 6 to make 36.
Step 4: 36 ÷ 12 = 3.
Answer: 13
Example 2
847 ÷ 7
Step 1: 7 goes into 8 one time. 1 × 7 = 7, then 8 − 7 = 1.
Step 2: Bring down 4 to make 14. 14 ÷ 7 = 2.
Step 3: 2 × 7 = 14, then 14 − 14 = 0.
Step 4: Bring down 7. 7 ÷ 7 = 1.
Answer: 121
Example 3
925 ÷ 25
Step 1: 25 goes into 92 three times.
Step 2: 3 × 25 = 75, then 92 − 75 = 17.
Step 3: Bring down 5 to make 175.
Step 4: 175 ÷ 25 = 7.
Answer: 37
Example 4
725 ÷ 6
Step 1: 6 goes into 7 one time. 1 × 6 = 6, then 7 − 6 = 1.
Step 2: Bring down 2 to make 12. 12 ÷ 6 = 2.
Step 3: Bring down 5. 5 is less than 6, so it remains.
Answer: 120 remainder 5
Need simple arithmetic too? Use the Basic Calculator That Shows Work. For broader math problems, try the Calculator That Shows Work.
Common Mistakes
Common long division mistakes to avoid
Most long division mistakes happen when students skip a step, forget to bring down the next digit, or do not check the remainder properly.
Mistake 1
Guessing the quotient digit too fast
Before writing a quotient digit, check how many times the divisor fits into the current number without going over it.
Example: In 156 ÷ 12, 12 goes into 15 only 1 time, not 2 times.
Mistake 2
Forgetting to multiply after dividing
After choosing the quotient digit, multiply it by the divisor before subtracting. Skipping this step makes the rest of the work wrong.
Correct flow: divide → multiply → subtract → bring down.
Mistake 3
Not bringing down the next digit
After subtracting, bring down the next digit from the dividend. Without this step, the next division step cannot continue correctly.
Example: In 156 ÷ 12, after 15 − 12 = 3, bring down 6 to make 36.
Mistake 4
Ignoring the remainder
If the final leftover number is smaller than the divisor, it becomes the remainder. Do not drop it from the answer.
Example: 725 ÷ 6 = 120 remainder 5.
Best way to avoid long division mistakes
Follow the same order every time: divide, multiply, subtract, bring down, repeat. Use the long division calculator above to check each step, or use the Basic Calculator That Shows Work for simpler division checks.
Long Division FAQs
Questions about long division calculator that shows work
Here are simple answers about long division, quotient, remainder, dividend, divisor, and step-by-step division work.
What is a long division calculator that shows work?
A long division calculator that shows work divides numbers and explains each step of the long division process. It shows how to divide, multiply, subtract, bring down the next digit, and find the quotient and remainder.
What are the steps of long division?
The basic long division steps are divide, multiply, subtract, bring down, and repeat. Continue these steps until all digits are used and the final quotient and remainder are clear.
What is the dividend in long division?
The dividend is the number being divided. For example, in 156 ÷ 12, the dividend is 156.
What is the divisor in long division?
The divisor is the number you divide by. For example, in 156 ÷ 12, the divisor is 12.
What is a quotient?
The quotient is the answer you get after dividing. For example, in 156 ÷ 12 = 13, the quotient is 13.
What is a remainder in long division?
A remainder is the amount left after division when the dividend cannot be divided evenly by the divisor. For example, 725 ÷ 6 = 120 remainder 5.
Can I use this calculator for homework?
Yes. Use it to understand the long division method and check your work. For broader math questions, use the Calculator That Shows Work.
Practice Long Division With Steps
See the full division work before trusting the answer
Use this long division calculator when you want to understand each divide, multiply, subtract, and bring-down step clearly with quotient and remainder.
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