6/11 as a decimal

How to convert this fraction

Divide 6 by 11 using integer long division. The whole-number part is 0; the remaining fraction is 6/11.

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

The remainder repeats, so the decimal repeats with 54 as the repeating cycle. The displayed value 0.545454545455 is rounded; the exact value remains 6/11.

Check: 0 × 11 + 6 = 6, so the quotient and remainder reconstruct the original fraction.