8/9 as a decimal

How to convert this fraction

Divide 8 by 9 using integer long division. The whole-number part is 0; the remaining fraction is 8/9.

1. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 8.

The remainder repeats, so the decimal repeats with 8 as the repeating cycle. The displayed value 0.888888888889 is rounded; the exact value remains 8/9.

Check: 0 × 9 + 8 = 8, so the quotient and remainder reconstruct the original fraction.