$$65\frac{1}{2}\div12\frac{1}{4}$$
$\frac{262}{49}\approx 5.346938776$
$$\frac{\left(65\times 2+1\right)\times 4}{2\left(12\times 4+1\right)}$$
$$\frac{2\left(1+2\times 65\right)}{1+4\times 12}$$
$$\frac{2\left(1+130\right)}{1+4\times 12}$$
$$\frac{2\times 131}{1+4\times 12}$$
$$\frac{262}{1+4\times 12}$$
$$\frac{262}{1+48}$$
$$\frac{262}{49}$$
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$\frac{2 \cdot 131}{7 ^ {2}} = 5\frac{17}{49} = 5.346938775510204$
