7/12 as a decimal

How to convert this fraction

Divide 7 by 12 using integer long division. The whole-number part is 0; the remaining fraction is 7/12.

1. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 10.
2. Bring down a zero: remainder × 10 gives the next decimal digit 8; the new remainder is 4.
3. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 4.

The remainder repeats, so the decimal repeats with 3 as the repeating cycle. The displayed value 0.583333333333 is rounded; the exact value remains 7/12.

Check: 0 × 12 + 7 = 7, so the quotient and remainder reconstruct the original fraction.