$$\quad 8 \frac { 1 } { 4 } \div \frac { 7 } { 8 }$$
$\frac{66}{7}\approx 9.428571429$
$$\frac{\left(8\times 4+1\right)\times 8}{4\times 7}$$
$$\frac{2\left(1+4\times 8\right)}{7}$$
$$\frac{2\left(1+32\right)}{7}$$
$$\frac{2\times 33}{7}$$
$$\frac{66}{7}$$
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$\frac{2 \cdot 3 \cdot 11}{7} = 9\frac{3}{7} = 9.428571428571429$
