$$8\frac{9}{8}-(\frac{8}{19}\div\frac{14}{8})$$
$\frac{9453}{1064}\approx 8.884398496$
$$\frac{64+9}{8}-\frac{\frac{8}{19}}{\frac{14}{8}}$$
$$\frac{73}{8}-\frac{\frac{8}{19}}{\frac{14}{8}}$$
$$\frac{73}{8}-\frac{8\times 8}{19\times 14}$$
$$\frac{73}{8}-\frac{4\times 8}{7\times 19}$$
$$\frac{73}{8}-\frac{32}{7\times 19}$$
$$\frac{73}{8}-\frac{32}{133}$$
$$\frac{9709}{1064}-\frac{256}{1064}$$
$$\frac{9709-256}{1064}$$
$$\frac{9453}{1064}$$
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$\frac{3 \cdot 23 \cdot 137}{2 ^ {3} \cdot 7 \cdot 19} = 8\frac{941}{1064} = 8.884398496240602$
