Math

Binary Division Calculator

Divide two numbers and show the binary quotient and remainder.

Calculated Output

Quotient (binary) 111

Remainder (decimal) 2

Formula: Integer division shown in base 2

Step-by-Step Breakdown

1. Values used:

2. Dividend (decimal) = 30

3. Divisor (decimal) = 4

5. Quotient (binary) = 111

6. Remainder (decimal) = 2

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The math behind it

Binary long division works like decimal long division but only ever subtracts the divisor once per step (the digit is 0 or 1).

30 ÷ 4 = 7 remainder 2; 7 is 111 in binary.

What if it doesn't divide evenly?

You get a quotient plus a remainder, just like integer division.