Divide any two numbers with full step-by-step long division shown. See the quotient, remainder, and decimal result — great for students and checking work.
Division equation: Dividend ÷ Divisor = Quotient remainder R
Check your answer: (Quotient × Divisor) + Remainder = Dividend
Steps:
1. Divide the leading digits of the dividend by the divisor to find the first digit of the quotient.
2. Multiply that digit by the divisor and subtract from the current portion of the dividend.
3. Bring down the next digit and repeat until all digits are used.
4. The leftover is the remainder.
The remainder is the amount left over after the dividend has been divided as evenly as possible by the divisor. For example, 17 ÷ 5 = 3 remainder 2, because 5 × 3 = 15 and 17 − 15 = 2. The remainder is always less than the divisor. In decimal division, there is no remainder — the division continues as decimal places.
Multiply the quotient by the divisor, then add the remainder. The result should equal the original dividend. Formula: (Quotient × Divisor) + Remainder = Dividend. For example, if 437 ÷ 15 = 29 remainder 2: (29 × 15) + 2 = 435 + 2 = 437. This check always works for integer division.