Perform long division with step-by-step work, remainder, and decimal result
This long division calculator performs step-by-step division, showing each subtraction step of the traditional long division algorithm. It calculates the quotient, remainder, and extends the division to 4 decimal places if the result is not exact. Long division is a standard arithmetic procedure for dividing multi-digit numbers.
Long division proceeds by repeatedly bringing down digits from the dividend, dividing by the divisor, multiplying, and subtracting. When the remainder reaches zero, the division is exact. Otherwise, adding a decimal point and zeros allows the process to continue for as many decimal places as needed.
The quotient is the integer result of division (how many times the divisor fits into the dividend completely). The remainder is what is left over after dividing as much as possible with integers. For example, 487 \u00f7 12 gives a quotient of 40 and a remainder of 7.
Add a decimal point and zeros to the dividend, then continue the long division process. Each decimal place adds one more digit to the quotient. This calculator shows the full decimal result to 4 decimal places, making the remainder unnecessary in the decimal representation.