$$13\frac{1}{7}\div7=$$
$\frac{92}{49}\approx 1.87755102$
$$\frac{13\times 7+1}{7\times 7}$$
$$\frac{91+1}{7\times 7}$$
$$\frac{92}{7\times 7}$$
$$\frac{92}{49}$$
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$\frac{2 ^ {2} \cdot 23}{7 ^ {2}} = 1\frac{43}{49} = 1.8775510204081634$