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In this talk, we discuss mathematical models that track bias generation by nano-machines operating during cell division. Several nano-machines are involved in cell division and their efficient operation requires specific interactions with dynamic bio polymers. We provide two examples of such nano-machines: one working in eukaryotic cells and one in prokaryotic cells. We use first passage techniques to derive mesoscale properties for these constructs using microscale rates and reactions. In each case, we show how these nano-machines could be employed by cells to make the precise measurements needed for equipartition of DNA.