#### Answer

$12\frac{44}{63}$

#### Work Step by Step

$100÷7\frac{7}{8}$⟶ convert the mixed number to an improper fraction
$=100÷\frac{63}{8}$⟶ multiply by the reciprocal of the fraction
$=100×\frac{8}{63}$⟶ simplify
$=\frac{800}{63}$⟶ simplify
$=12\frac{44}{63}$