The regular election of the district for the purpose of electing a board of directors shall be held on the first Tuesday after the first Monday in December of each alternate year, at which time one director from each division in the district and two directors at large shall be elected for a term of two years. If two or more persons have the same number of votes, their terms shall be determined by lot under the direction of the chairman of the board of supervisors of the county in which the organization of the district has been perfected. The person receiving the highest number of votes in any division for any office to be filled at the election shall be deemed elected thereto.