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Math

Long Division Calculator

Perform long division with step-by-step breakdown. Shows quotient, remainder, decimal result, and each division step.

What is Long Division Calculator?

The long division calculator divides a dividend by a divisor and shows the complete step-by-step long division process. It displays the quotient, remainder, decimal result, and every intermediate step exactly as you would work through on paper.

How to use

  1. 1 Enter the dividend (the number being divided).
  2. 2 Enter the divisor (the number dividing into the dividend).
  3. 3 Click Calculate to see the full result and step-by-step breakdown.
  4. 4 Each step shows: bring down, divide, multiply, subtract.
  5. 5 The decimal result shows up to 6 decimal places.

Formula

Quotient = floor(dividend / divisor). Remainder = dividend mod divisor. Decimal = dividend / divisor. Steps: repeatedly divide partial dividend, multiply divisor × digit, subtract to get new remainder.

Example calculation

847 ÷ 3: 8÷3=2 r2, bring down 4 → 24÷3=8 r0, bring down 7 → 7÷3=2 r1. Quotient = 282, Remainder = 1, Decimal = 282.333...

Frequently asked questions

What is long division?

Long division is a method for dividing large numbers by working through the digits of the dividend one at a time, finding how many times the divisor fits into each partial dividend.

What is the remainder?

The remainder is what is left over after division when the quotient is a whole number. For example, 10 ÷ 3 = 3 remainder 1 (because 3×3=9, and 10−9=1).

What does R mean in division?

R stands for remainder. Writing 847 ÷ 3 = 282 R 1 means the quotient is 282 and there are 1 left over.

Can I divide by a two-digit number?

Yes. The step-by-step display works for any divisor. The process is the same — find how many times the divisor goes into each partial dividend.

How do I convert the remainder to a decimal?

Divide the remainder by the divisor and add to the quotient. For 847 ÷ 3: remainder 1 → 1/3 ≈ 0.333, so 282.333...