Math

Floor Division Calculator

Divide and round the result down to a whole number.

Calculated Output

a // b 3

Remainder 2

Formula: a // b = ⌊a ÷ b⌋

Step-by-Step Breakdown

1. Values used:

2. Dividend = 17

3. Divisor = 5

5. a // b = 3

6. Remainder = 2

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The math behind it

a // b = ⌊a ÷ b⌋. The matching remainder is a − b·(a // b), which always has the same sign as the divisor.

17 // 5 = 3, remainder 2.

How does it handle negatives?

−17 // 5 = −4 (rounded down), not −3.