9/13 as a decimal

How to convert this fraction

Divide 9 by 13 using integer long division. The whole-number part is 0; the remaining fraction is 9/13.

1. Bring down a zero: remainder × 10 gives the next decimal digit 6; the new remainder is 12.
2. Bring down a zero: remainder × 10 gives the next decimal digit 9; the new remainder is 3.
3. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 4.
4. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 1.
5. Bring down a zero: remainder × 10 gives the next decimal digit 0; the new remainder is 10.
6. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 9.

The remainder repeats, so the decimal repeats with 692307 as the repeating cycle. The displayed value 0.692307692308 is rounded; the exact value remains 9/13.

Check: 0 × 13 + 9 = 9, so the quotient and remainder reconstruct the original fraction.