1/4 as a decimal

How to convert this fraction

Divide 1 by 4 using integer long division. The whole-number part is 0; the remaining fraction is 1/4.

1. Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 2 decimal places, so 1/4 = 0.25 exactly.

Check: 0 × 4 + 1 = 1, so the quotient and remainder reconstruct the original fraction.