7/8 as a decimal

How to convert this fraction

Divide 7 by 8 using integer long division. The whole-number part is 0; the remaining fraction is 7/8.

1. Bring down a zero: remainder × 10 gives the next decimal digit 8; 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 7/8 = 0.875 exactly.

Check: 0 × 8 + 7 = 7, so the quotient and remainder reconstruct the original fraction.