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.
This free long division calculator helps you get accurate results instantly without needing to work through the math manually. Whether you need a quick estimate or a precise figure, having a reliable tool on hand saves time and reduces errors compared to manual calculation.
Small errors in math calculations can compound into significant problems. A 1% miscalculation in a budget or measurement can translate to hundreds or thousands of dollars in wasted resources, or result in having to redo work entirely. This calculator uses the standard formulas and methods to give you reliable results you can trust.
Is this calculator free? Yes — completely free with no account, login, or payment required. Use it as many times as you need.
How accurate are the results? This calculator uses the standard formulas for long division calculations. Results are accurate for typical use cases. For specialized or high-stakes applications, consult a professional.
Does it work on mobile? Yes. This calculator is fully responsive and works on smartphones, tablets, and desktops.