7/11 as a decimal

How to convert this fraction

Divide 7 by 11 using integer long division. The whole-number part is 0; the remaining fraction is 7/11.

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

The remainder repeats, so the decimal repeats with 63 as the repeating cycle. The displayed value 0.636363636364 is rounded; the exact value remains 7/11.

Check: 0 × 11 + 7 = 7, so the quotient and remainder reconstruct the original fraction.