(1) When there is a vacancy in an elective office in a city, town or village, the unexpired term of which shall not exceed six (6) months, the same shall be filled by appointment by the governing authority or remainder of the governing authority of the city, town or village. The municipal clerk shall certify the appointment to the Secretary of State and the appointed person or persons shall be commissioned by the Governor.

(2) When there is a vacancy in an elective office in a city, town or village, the unexpired term of which shall exceed six (6) months, the governing authority or remainder of the governing authority of the city, town or village shall make and enter on the minutes an order for an election to be held in the city, town or village to fill the vacancy and fix a date upon which the election shall be held. The order shall be made and entered upon the minutes at the next regular meeting of the governing authority after the vacancy occurs, or at a special meeting to be held not later than ten (10) days after the vacancy occurs, Saturdays, Sundays and legal holidays excluded, whichever shall occur first. The election shall be held on a date not less than thirty (30) days nor more than forty-five (45) days after the date upon which the order is adopted.

Notice of the election shall be given by the municipal clerk by notice published in a newspaper published in the municipality. The notice shall be published once each week for three (3) successive weeks preceding the date of the election. The first notice shall be published at least thirty (30) days before the date of the election. Notice shall also be given by posting a copy of the notice at three (3) public places in the municipality not less than twenty-one (21) days before the date of the election. One (1) of the notices shall be posted at the city, town or village hall. In the event that there is no newspaper published in the municipality, such notice shall be published as provided for above in a newspaper that has a general circulation within the municipality and by posting as provided for above. Additionally, the governing authority may publish the notice in that newspaper for as many additional times as may be deemed necessary by the governing authority.

Each candidate shall qualify by petition filed with the municipal clerk by 5:00 p.m. at least twenty (20) days before the date of the election. If the twentieth day to file the petition before the election falls on a Sunday or legal holiday, the petition filed on the business day immediately following the Sunday or legal holiday shall be accepted. The petition shall be signed by not less than the following number of qualified electors:

(a) For an office of a city, town, village or municipal district having a population of one thousand (1,000) or more, not less than fifty (50) qualified electors.

(b) For an office of a city, town, village or municipal district having a population of less than one thousand (1,000), not less than fifteen (15) qualified electors.

No qualifying fee shall be required of any candidate, and the election shall be held as far as practicable in the same manner as municipal general elections.

The candidate receiving a majority of the votes cast in the election shall be elected. If no candidate receives a majority vote at the election, the two (2) candidates receiving the highest number of votes shall have their names placed on the ballot for the election to be held three (3) weeks thereafter. The candidate receiving a majority of the votes cast in the election shall be elected. However, if no candidate receives a majority and there is a tie in the election of those receiving the next highest vote, those receiving the next highest vote and the candidate receiving the highest vote shall have their names placed on the ballot for the election to be held three (3) weeks thereafter, and whoever receives the most votes cast in the election shall be elected.

Should the election held three (3) weeks thereafter result in a tie vote, the prevailing candidate shall be decided by a toss of a coin or by lot fairly and publicly drawn under the supervision of the election commission.

The clerk of the election commission shall then give a certificate of election to the person elected, and return to the Secretary of State a copy of the order of holding the election and runoff election results, certified by the clerk of the governing authority. The person elected shall be commissioned by the Governor.

However, if nineteen (19) days before the date of the election only one (1) person shall have qualified as a candidate, the governing authority, or remainder of the governing authority, shall dispense with the election and appoint that one (1) candidate in lieu of an election. In the event no person shall have qualified by 5:00 p.m. at least twenty (20) days before the date of the election, the governing authority or remainder of the governing authority shall dispense with the election and fill the vacancy by appointment. The clerk of the governing authority shall certify the appointment to the Secretary of State, and the appointed person shall be commissioned by the Governor.