13/16 as a decimal

How to convert this fraction

Divide 13 by 16 using integer long division. The whole-number part is 0; the remaining fraction is 13/16.

1. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 1; the new remainder is 4.
3. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 8.
4. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 4 decimal places, so 13/16 = 0.8125 exactly.

Check: 0 × 16 + 13 = 13, so the quotient and remainder reconstruct the original fraction.