For assessments made before January 1, 2024, the assessor shall place in one distinct and continuous part of the assessment roll all the names of persons assessed for personal property, with a statement of such property in each village in the assessor’s assessment district, and foot up the valuation thereof separately; otherwise the assessor shall arrange all names of persons assessed for personal property on the roll alphabetically so far as convenient. The assessor shall also place upon the assessment roll, in a separate column and opposite the name of each person assessed for personal property, the number of the school district in which such personal property is subject to taxation.