1/6 as a decimal

How to convert this fraction

Divide 1 by 6 using integer long division. The whole-number part is 0; the remaining fraction is 1/6.

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

The remainder repeats, so the decimal repeats with 6 as the repeating cycle. The displayed value 0.166666666667 is rounded; the exact value remains 1/6.

Check: 0 × 6 + 1 = 1, so the quotient and remainder reconstruct the original fraction.