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A class of methods of apportionment called the relaxed divisor methods is introduced here. It is theoretically shown that their biases between small and large states decrease and eventually approach zero as the house size increases. Because the methods of Hill and Webster are examples of the class, they both are practically unbiased for the house size large enough. However, computer simulations performed here strongly suggest that Webster is the rst method to practically attain a state of unbiasedness when the house size increases from 200 to 43,500.

RELAXED DIVISOR METHODS AND THEIR SEAT BIASES