Results

Quotient (Binary)

Quotient (Decimal)

Remainder (Binary)

Remainder (Decimal)

Dividend (Padded Binary)

Divisor (Padded Binary)

Binary Division Calculator

Our Binary Division Calculator divides one binary number (the dividend) by another (the divisor) and shows the result as a quotient and remainder, just like long division in decimal.

How Binary Division Works

Binary division works the same way as decimal long division, just with only two digits to work with. At each step, you compare the divisor to the current portion of the dividend: if it fits, write a 1 and subtract; if it doesn't, write a 0 and bring down the next bit. The quotient is how many times the divisor fits into the dividend, and the remainder is whatever is left over — always smaller than the divisor.

Example Calculation (8-bit)

Dividend: 1110 (14), Divisor: 11 (3)

14 ÷ 3 = 4 remainder 2

✓ Quotient = 100 (4), Remainder = 10 (2)

Features of Our Binary Division Calculator

✅ Shows both quotient and remainder

✅ Choose 4, 8, 12, 16, 32, 64-bit, or a custom bit width

✅ Results shown in both binary and decimal

✅ Free to use, no sign-up required

Who Can Use This Calculator?

Students – For computer science and digital logic homework

Programmers – For verifying binary arithmetic in low-level code

Teachers – For demonstrating binary long division step by step

Puzzle Solvers – For quick binary arithmetic checks

👉 Try our Binary Division Calculator to divide any two binary numbers instantly.