$$2876\frac{1}{2}\div261\frac{1}{2}$$
$11$
$$\frac{\left(2876\times 2+1\right)\times 2}{2\left(261\times 2+1\right)}$$
$$\frac{1+2\times 2876}{1+2\times 261}$$
$$\frac{1+5752}{1+2\times 261}$$
$$\frac{5753}{1+2\times 261}$$
$$\frac{5753}{1+522}$$
$$\frac{5753}{523}$$
$$11$$
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