5/6 as a decimal

How to convert this fraction

Divide 5 by 6 using integer long division. The whole-number part is 0; the remaining fraction is 5/6.

1. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 2.

The remainder repeats, so the decimal repeats with 3 as the repeating cycle. The displayed value 0.833333333333 is rounded; the exact value remains 5/6.

Check: 0 × 6 + 5 = 5, so the quotient and remainder reconstruct the original fraction.