What is the difference between the quotient and the remainder?

The quotient is how many whole times the divisor fits into the dividend, and the remainder is the amount left over that is too small to divide once more. For 4567 / 12 the quotient is 380 and the remainder is 7.

Does it also give the decimal answer?

Yes. Alongside the quotient and remainder, the calculator divides the dividend by the divisor directly to show the full decimal value, which is useful when you want a precise result rather than a remainder.

Can it divide negative numbers?

Yes. The step-by-step work is done on the absolute values, and the sign of the quotient follows the usual rule: the result is negative when exactly one of the dividend or divisor is negative.

What happens if I divide by zero?

Division by zero is undefined, so the calculator returns no result when the divisor is zero. Enter a non-zero divisor to get a valid quotient and remainder.

Long Division Calculator

Dividend

Divisor

Quotient13

Remainder0

Decimal Result13.000000

Steps

1 ÷ 12 = 0, remainder 1

15 ÷ 12 = 1, remainder 3

36 ÷ 12 = 3, remainder 0

Long division breaks a division problem into a sequence of simple steps, bringing down one digit at a time and recording the partial quotient and remainder at each stage. This calculator divides one number by another and shows the whole-number quotient, the remainder, the decimal answer, and the full step-by-step working. It is built for learning and checking the classic pencil-and-paper method.

Formula

dividend = divisor * quotient + remainder; decimal = dividend / divisor

dividend: The number being divided
divisor: The number you divide by (cannot be zero)
quotient: The whole-number result of the division
remainder: What is left over after the integer division

How it works

Enter the dividend (the number being divided) and the divisor (the number you divide by). The divisor cannot be zero.
The calculator processes the dividend digit by digit, at each step dividing the running value by the divisor to get a quotient digit and carrying the remainder forward, just like manual long division.
It reports the integer quotient, the final remainder, the exact decimal result, and a list of each division step so you can follow the process.

Worked example

Divide 4567 by 12.

4 / 12 = 0 remainder 4; bring down 5 to make 45.
45 / 12 = 3 remainder 9; bring down 6 to make 96.
96 / 12 = 8 remainder 0; bring down 7 to make 7; 7 / 12 = 0 remainder 7.

4567 / 12 = 380 remainder 7, or about 380.5833 as a decimal.

Frequently asked questions

What is the difference between the quotient and the remainder?: The quotient is how many whole times the divisor fits into the dividend, and the remainder is the amount left over that is too small to divide once more. For 4567 / 12 the quotient is 380 and the remainder is 7.
Does it also give the decimal answer?: Yes. Alongside the quotient and remainder, the calculator divides the dividend by the divisor directly to show the full decimal value, which is useful when you want a precise result rather than a remainder.
Can it divide negative numbers?: Yes. The step-by-step work is done on the absolute values, and the sign of the quotient follows the usual rule: the result is negative when exactly one of the dividend or divisor is negative.
What happens if I divide by zero?: Division by zero is undefined, so the calculator returns no result when the divisor is zero. Enter a non-zero divisor to get a valid quotient and remainder.

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