25/32 as a decimal

How to convert this fraction

Divide 25 by 32 using integer long division. The whole-number part is 0; the remaining fraction is 25/32.

1. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 26.
2. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 4.
3. Bring down a zero: remainder × 10 gives the next decimal digit 1; the new remainder is 8.
4. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 16.
5. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 5 decimal places, so 25/32 = 0.78125 exactly.

Check: 0 × 32 + 25 = 25, so the quotient and remainder reconstruct the original fraction.