Long Division Calculator

Long division is a written procedure for dividing one whole number (the dividend) by another (the divisor). It produces an integer quotient and a non-negative remainder less than the divisor. The relationship is dividend = divisor × quotient + remainder.

The remainder is what is left over after the divisor goes into the dividend as many whole times as possible. For example, 754 ÷ 3 gives quotient 251 with remainder 1, because 3 × 251 = 753 and the dividend is 754. Continuing the division past the decimal point turns the remainder into the decimal portion of the answer.

Yes, but long division as a written method is built for whole numbers. With decimal inputs the calculator returns only the decimal answer and does not show a quotient and remainder. Convert decimals to whole numbers first if you need a clean remainder.

Division by 0 is undefined. The calculator flags the input and returns no answer. Make sure the divisor is a nonzero number.

The calculator follows the standard rule dividend = divisor × quotient + remainder, with the quotient sign chosen so the remainder is non-negative in absolute value. For an everyday whole-number division like -754 ÷ 3, this returns quotient -251 and remainder -1 in signed form, equivalent to -(251 remainder 1).

When the remainder is not 0, the answer can be written as a whole-number quotient plus a fraction. For 754 ÷ 3, the quotient is 251 and the remainder is 1 over divisor 3, giving the mixed number 251 1/3. The decimal form is 251.333…