Long Division Calculator
This free long division calculator divides one number by another and shows the complete step-by-step working — each divide, multiply, subtract, and bring-down step — along with the quotient and remainder. It is both a fast way to divide large numbers and a learning tool for students mastering the long division method. Enter the dividend and divisor and the calculator lays out the full solution.
How to Use the Long Division Calculator
- Enter the dividend (the number being divided).
- Enter the divisor (the number you divide by).
- Calculate — see the quotient, remainder, and step-by-step working.
How Long Division Works
Long division repeats four steps — divide, multiply, subtract, bring down — until there are no more digits to bring down. You work from the leftmost digit of the dividend, find how many times the divisor fits, multiply and subtract, then bring down the next digit and repeat. Whatever is left at the end is the remainder.
Worked Example: 256 ÷ 7
| Step | Action |
|---|---|
| 1 | 7 into 25 goes 3 times (21); subtract to get 4 |
| 2 | Bring down 6 to make 46 |
| 3 | 7 into 46 goes 6 times (42); subtract to get 4 |
| 4 | Quotient 36, remainder 4 |
So 256 ÷ 7 = 36 remainder 4 (or 36.571… as a decimal).
Remainder vs Decimal
You can express the leftover either as a remainder (36 R4) or continue dividing by adding a decimal point and zeros to get a decimal answer. The calculator can show both forms, which is useful depending on whether you need a whole-number remainder or a precise decimal.
Why Learn Long Division?
- Builds understanding of place value and the division process.
- Foundation for dividing polynomials and decimals later.
- Develops careful, step-by-step problem solving.
- Lets you divide large numbers without a calculator.
Frequently Asked Questions
How do you do long division?
Repeat divide, multiply, subtract, and bring down: see how many times the divisor fits, multiply and subtract, bring down the next digit, and continue until done. The leftover is the remainder.
What is the remainder in division?
The remainder is what is left over when the divisor does not divide the dividend evenly. For 256 ÷ 7, the remainder is 4.
How do I get a decimal answer instead of a remainder?
After reaching the remainder, add a decimal point and zeros to the dividend and keep dividing to express the answer as a decimal.
What are the parts of a division problem?
The dividend is the number being divided, the divisor is what you divide by, the quotient is the answer, and the remainder is any leftover amount.
Is this long division calculator free?
Yes — it is completely free, requires no signup, and shows full step-by-step working with the remainder.