The expense of the improvement shall be assessed by the street commissioner against the lots or parcels of land properly chargeable therewith, and such assessment shall be returned by the street commissioner and filed in the city auditor’s office. The city auditor shall cause such assessment, together with a notice of the time when and place where the governing body will meet to consider the approval thereof, to be published in one issue of the official newspaper of the city at least ten days prior to the meeting of the governing body at which the approval of the assessment will be considered.