If the board deems it necessary in order to ensure payment to the state of the amount of taxes due from any supplier under this part, it may require the supplier to make returns and payments of taxes on a weekly basis. The supplier shall then file a return each Tuesday showing the total number of gallons of diesel fuel removed, entered or sold by him or her during the week ending the Saturday next preceding, the amount of tax due for that week, and any other information as the board deems necessary for the proper administration of this article. The return shall be accompanied by a remittance payable to the board for the amount of tax due for the period covered.