The assessor shall extend in the tax books the state, school, and local taxes and include in said books such matter as the law shall provide or the city comptroller require. The assessor shall then cause tax bills to be made out for such taxes in such form as the law shall provide or the city comptroller require, on or before September thirtieth of each year, who shall compare said bills with said books and schedule and test the footings, and then officially stamp said bills and deliver them with one schedule to the collector on or before the thirty-first day of October of each year, and take his separate receipts; one for the aggregate of said bills, and another for the state taxes, which last receipt the city comptroller shall transmit to the director of revenue.