Mathematics July 22, 2026 · 10 min read

Binary Division: Long Division in the Digital World

Master binary division with long division, restoring division algorithm, and step-by-step worked examples.

Try the free calculator

Put these formulas into practice with our instant, step-by-step Binary Division Calculator.

Open Calculator ›

Binary division performs long division on binary numbers, producing a quotient and remainder. It follows the same process as decimal division but with simpler arithmetic: compare, subtract, shift, and repeat.

Key Takeaway

Binary division uses comparison, subtraction, and shifting. The restoring and non-restoring algorithms are used in hardware.

1. The Division Process

  1. Compare the divisor with current bits of the dividend
  2. If divisor fits: quotient bit = 1, subtract and bring down next bit
  3. If not: quotient bit = 0, bring down next bit
  4. Repeat until all bits are processed

2. Hardware Algorithms

  • Restoring division: Restore previous value if subtraction is negative
  • Non-restoring division: Faster, adjusts quotient bit later
  • SRT division: Uses lookup tables for faster convergence

© 2026 Calculator Archive.