3/8 as a decimal

How to convert this fraction

Divide 3 by 8 using integer long division. The whole-number part is 0; the remaining fraction is 3/8.

1. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 6.
2. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 4.
3. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 3 decimal places, so 3/8 = 0.375 exactly.

Check: 0 × 8 + 3 = 3, so the quotient and remainder reconstruct the original fraction.