What does the long division calculator show?

It shows the quotient, the remainder, the decimal expansion to the number of digits you choose, and the remainder expressed as a simplified fraction. A step-by-step breakdown lists every bring-down, multiply and subtract.

How many decimal digits can I request?

Between 0 and 20. If the division resolves exactly (the remainder reaches zero), the expansion stops early regardless of your setting.

What is a remainder in long division?

The remainder is what is left after the divisor has been subtracted as many whole times as possible. For 1,456 divided by 25, the quotient is 58 and the remainder is 6, which can also be written as the fraction 6/25.

Why does the quotient sometimes have a leading zero?

When the first working value is smaller than the divisor, a 0 is recorded in the quotient before the next digit is brought down. It is a correct part of the method and appears in the step-by-step working.

Can I divide decimals with this tool?

No. The dividend and divisor must be whole numbers. To divide decimal numbers, multiply both by the same power of ten until they are whole, then run the calculation.

What happens if the divisor is zero?

Division by zero is undefined, so the tool rejects it with an error rather than returning a meaningless result.

Why are the steps useful for students?

Each step shows a digit being brought down, the quotient digit, the multiplication of the divisor and the subtraction. Comparing these against your own written working reveals exactly where a mistake happened, which a bare final answer never can.

Does the calculator simplify the remainder fraction?

Yes. The remainder is reduced by dividing the numerator and denominator by their greatest common divisor, so 6/25 stays 6/25 but 8/12 would be shown as 2/3.

Is my calculation stored anywhere?

No. Everything runs in your browser and nothing is uploaded to any server.

What is the difference between the quotient and the remainder?

The quotient is the number of whole times the divisor fits into the dividend, and the remainder is what is left over. Dividing 23 by 5 gives a quotient of 4 and a remainder of 3, because 5 times 4 is 20 with 3 remaining.

Can the calculator work with decimal results?

Yes. You can continue the division past the decimal point to get an exact decimal quotient, such as 23 divided by 5 equaling 4.6, or read the result as quotient and remainder for whole-number math problems.

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Long Division Calculator

Solve long division with remainders and step-by-step work shown. Free long division solver for homework.

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About Long Division Calculator