When payroll registers for all departments have been determined appropriate for payment, it shall be the duty of the director of finance administration to prepare a demand warrant upon the city treasurer, drawn upon the appropriate funds of the city, for total amount of money necessary to meet the payroll for the period represented by such payroll registers. Such warrant, when so prepared, shall be submitted to the city treasurer who shall pay the same to the director of finance administration for the payroll revolving fund. Such sum shall thereupon be deposited in the payroll account of such national bank in the city as shall have been designated for that purpose to reimburse that account for the previous payroll. (1962 Code § 2-6.205)