It shall be the duty of the assessor of each county, when the assessor shall have received from the state department of revenue the certificate of the assessed valuation of the property of railroad and/or other companies assessed by the department of revenue and apportioned to the county, and shall have distributed the value so certified, to the several taxing districts in the county entitled to a proportionate value thereof, and placed the same upon the tax rolls of the county, to certify to the county legislative authority and to the officers authorized by law to estimate expenditures and/or levy taxes for any taxing district coextensive with the county, the total assessed value of property in the county as shown by the completed tax rolls, and to certify to the officers authorized by law to estimate expenditures and/or levy taxes for each taxing district in the county not coextensive with the county, the total assessed value of the property in such taxing district.