Long Division Calculator

Enter a dividend and a divisor. You get the quotient and each long-division step.

Smart Tips

• The steps follow school long division: how many times the divisor goes into the current number, the product, and the remainder.

• Decimals are multiplied by the same power of 10 so both numbers become whole numbers. The quotient does not change.

• A repeating block is written in parentheses. 1 ÷ 6 = 0.1(6), and 1 ÷ 3 = 0.(3).

• This page does not divide polynomials. The inputs are whole numbers and decimals only.

The Formula

dividend = quotient × divisor + remainder

÷ = Long division
One digit of the quotient at a time

R = Remainder
What is left after the whole-number part

( ) = Repeating block
Digits that repeat because a remainder returned

0 = Divisor
Division by zero is rejected

If a remainder appears again while the decimal places are being built, the digits between those remainders repeat. Parentheses mark that block, the same idea as a bar over the repeating digits. The whole-number identity uses the toward-zero whole quotient.

Key Insights

The steps are the result

Each line says what was brought down, how many times the divisor fits, and what remainder is left.

Repeating decimals

1 ÷ 3 is 0.(3). 1 ÷ 6 is 0.1(6): the 1 does not repeat, and the 6 does. 22 ÷ 7 is 3.(142857).

Decimals

1.25 ÷ 0.5 is scaled to 125 ÷ 50, which is 2.5. The page says which power of 10 it used.

Not polynomials

There is no place for x or for a polynomial divisor. Use whole numbers and decimals only.

Frequently Asked Questions

Whole numbers and decimals. The page shows the long-division steps, the quotient, and the remainder after the whole-number part. It does not divide polynomials.

For each digit, the steps say how many times the divisor goes into the current number, the product to subtract, and the remainder. Decimal places bring down a zero and continue.

If a remainder appears again, the digits between those appearances repeat. Parentheses mark the block. 1 ÷ 3 = 0.(3). 1 ÷ 6 = 0.1(6), because 6 repeats and the 1 does not. 22 ÷ 7 = 3.(142857).

Division by zero is rejected. There is no quotient. A dividend of zero divided by a non-zero divisor is 0.

The steps divide the absolute values. If the signs differ, the quotient is negative. The remainder is the one that makes dividend = whole quotient × divisor + remainder.

Long division of whole numbers, including the names dividend, divisor, and quotient, follows OpenStax Prealgebra 2e, section 1.5. Repeating decimals, including a bar over the repeating digits, follow section 5.3 of the same book. Parentheses stand in for that bar. No outside data feed is used.

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Quotient

Enter values to calculate

Remainder

Repeating block

Note:Whole numbers and decimals only. A repeating block is written in parentheses. Polynomials are not divided here. The divisor cannot be zero.