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Long division

The four-step dance: divide, multiply, subtract, bring down — then repeat.

Long division — step by step

Divide, multiply, subtract, bring down. Repeat.

Dividend

Divisor

845 ÷ 7 = 120 r 5

Step 1Bring down 8 → make 8; 8 ÷ 7 = 1; subtract 7 → remainder 1
Step 2Bring down 4 → make 14; 14 ÷ 7 = 2; subtract 14 → remainder 0
Step 3Bring down 5 → make 5; 5 ÷ 7 = 0; subtract 0 → remainder 5

The four-step dance

  1. Divide. How many times does the divisor go in?
  2. Multiply. That digit × divisor.
  3. Subtract. Take the product away from the partial.
  4. Bring down. Drop the next digit and start again.