Can a polynomial sized arithmetic ciruits perform integer division?

Can we perform integer division with a polynomial size arithmetic circuit over $\mathbb{Q}$ that takes as input the numerator and denominator?

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By arithmetic circuit do you mean a circuit composed of addition and multiplication gates? –  Kaveh Apr 11 '14 at 7:32

Division is complete for DLOGTIME-uniform $\mathsf{TC}^0$
so in particular there is a poly-sized circuit (of constant depth) that takes $x$ and $y$ as input and produces $x/y$. Notice that this circuit doesn't even need to be arithmetic (it only needs MAJORITY gates in addition to boolean gates)