$$326\frac{1}{4}\div43\frac{1}{2}$$
$\frac{15}{2}=7.5$
$$\frac{\left(326\times 4+1\right)\times 2}{4\left(43\times 2+1\right)}$$
$$\frac{1+4\times 326}{2\left(1+2\times 43\right)}$$
$$\frac{1+1304}{2\left(1+2\times 43\right)}$$
$$\frac{1305}{2\left(1+2\times 43\right)}$$
$$\frac{1305}{2\left(1+86\right)}$$
$$\frac{1305}{2\times 87}$$
$$\frac{1305}{174}$$
$$\frac{15}{2}$$
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$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$
