If the results of the election require the dissolution of the district and there is not on hand sufficient money to pay off all claims against the district and if the annual assessments already levied will not provide sufficient funds for the payment of claims, the board shall have the authority to levy and cause to be collected further annual assessments but only in an amount as may be necessary to settle the claims against the district. Any money remaining on hand after all claims have been settled shall be paid over rateably to the county treasurer of each county in which the district lies in the proportion which the territory in each county bears to the total area of the district, and shall be placed by the treasurer in the general fund of the county.