7/16 as a decimal

How to convert this fraction

Divide 7 by 16 using integer long division. The whole-number part is 0; the remaining fraction is 7/16.

1. Bring down a zero: remainder × 10 gives the next decimal digit 4; the new remainder is 6.
2. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 12.
3. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 8.
4. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 0.

The remainder reaches zero after 4 decimal places, so 7/16 = 0.4375 exactly.

Check: 0 × 16 + 7 = 7, so the quotient and remainder reconstruct the original fraction.