Hamilton method

The Hamilton method (or Largest Remainder-Hare/LR-Hare) is a version of the largest remainder method for allocating seats proportionally for representative assemblies with party list voting systems. It uses the Hare quota as the initial quota.

Example
The quota is 3 615 920 ÷ 60 = 60 265.333. Dividing the state populations by the quota gives

Each state receives a number of seats equal to the integer part of the quotient. The remaining 8 seats are given to the states with the largest remainders: New Jersey, Connecticut, Delaware, Massachusetts, North Carolina, Maryland, New York, and Virginia. The final apportionment is:

Extensions of theory
Several cardinal PR methods reduce to Hamilton if certain divisors are used. Some of which are:


 * Sequential Monroe voting
 * Sequentially Spent Score
 * Monroe's method