11/8 as a decimal

How to convert this fraction

Divide 11 by 8 using integer long division. The whole-number part is 1; 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 11/8 = 1.375 exactly.

As a mixed-number decomposition: 11/8 = 1 + 3/8.

Check: 1 × 8 + 3 = 11, so the quotient and remainder reconstruct the original fraction.