(a) If the clerk of the legislative body ascertains that the application has been signed by all of the necessary persons, and that no request for a hearing has been received, the clerk shall amend, or cause to be amended, the recorded diagram and assessment to conform to the proposed division and apportionment, and assign new assessment numbers to each separate part of the original lot or parcel of land.
(b) The clerk of the legislative body shall file the amended assessment with the treasurer, who shall annually enter upon the assessment roll the installments becoming due on each component part of the original parcel opposite a description of the respective parcels.