3/16 as a decimal

How to convert this fraction

Divide 3 by 16 using integer long division. The whole-number part is 0; the remaining fraction is 3/16.

1. Bring down a zero: remainder × 10 gives the next decimal digit 1; the new remainder is 14.
2. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 12.
3. Bring down a zero: remainder × 10 gives the next decimal digit 7; 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 3/16 = 0.1875 exactly.

Check: 0 × 16 + 3 = 3, so the quotient and remainder reconstruct the original fraction.