The owner of any property against which an assessment has been made under this title for the cost of any improvement may pay in full or in part the amount remaining unpaid and the unpaid accumulated interest. The payment in full discharges the lien of the assessment upon that property. The payment may be made to the county treasurer upon all installments of the assessments which have been certified to the county auditor, and may be made to the district treasurer upon all portions of the assessment which have not been certified. Any person    desiring to pay any portion of the assessment to the district treasurer shall obtain from the district treasurer a certificate of the amount due upon the assessment which has not been certified to the county auditor and shall present the certificate to the district treasurer. The district treasurer shall receive and collect that amount and issue a receipt to the person paying the assessment. The district treasurer shall note upon the treasurer’s records the payment of the assessment.