Any warrant upon the treasurer of any taxing district must be paid in the order of its presentation for payment, except as otherwise provided in this chapter. Such warrant must be so drawn that when signed by the treasurer in an appropriate place it becomes a check on the taxing district depository. No warrant upon the treasurer may be delivered or mailed to the payee or payee’s agent or representative until such warrant has been signed by the treasurer and entered on the treasurer’s books as a check drawn on a bank depository.