17/32 as a decimal

How to convert this fraction

Divide 17 by 32 using integer long division. The whole-number part is 0; the remaining fraction is 17/32.

1. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 10.
2. Bring down a zero: remainder × 10 gives the next decimal digit 3; 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 17/32 = 0.53125 exactly.

Check: 0 × 32 + 17 = 17, so the quotient and remainder reconstruct the original fraction.