Upon passage of an ordinance making an assessment and levying a special tax for a local improvement, the director, division of computer services shall make out the proper tax bills for the tax so assessed and levied, and place them in the hands of the director, division of revenue for collection. The director, division of revenue will thereupon publish in a newspaper a notice requiring all owners of property fronting or abutting on such improvement to pay the taxes so assessed and levied upon their property within the thirty (30) days after the publication of the ordinance assessing and levying the same. At the expiration of such thirty (30) days, all unpaid tax bills shall be returned to the director, division of revenue who shall hold them until paid or withdrawn for the purpose of suit thereon.