$$13 \frac{ 1 }{ 13 } \div \frac{ 1 }{ 4 }$$
$\frac{680}{13}\approx 52.307692308$
$$\frac{\left(13\times 13+1\right)\times 4}{13}$$
$$\frac{\left(169+1\right)\times 4}{13}$$
$$\frac{170\times 4}{13}$$
$$\frac{680}{13}$$
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$\frac{2 ^ {3} \cdot 5 \cdot 17}{13} = 52\frac{4}{13} = 52.30769230769231$