Binary Division Calculator

About this calculator

Binary division applies the same long-division process you learned with decimal numbers, but restricted to the two digits 0 and 1: at each step, the calculator checks whether the current partial remainder is large enough to subtract the divisor at all — the quotient digit can only ever be 0 or 1, since there is no “how many times does it go in” beyond that.

This is exactly how division is implemented in a computer's arithmetic logic unit (ALU) at the hardware level, using shift-and-subtract algorithms built from binary logic gates, which is why binary long division is a standard exercise in computer science and digital logic courses — it builds the same intuition a processor uses, just done by hand.

Enter two binary numbers and this calculator divides the first by the second, showing the quotient and remainder in both binary and their decimal equivalents so you can check your own step-by-step work.