Every voter who is on the premises of the voter’s precinct polling place at the time the polling place is to be closed for any election shall be permitted to vote in that election. Wherever possible, when there are persons on the premises of a polling place awaiting an opportunity to claim their vote at the time the polling place is to be closed, the election board shall cause those persons to move inside the structure in which the polling place is located and shall then shut the doors of the structure and shall not admit any additional persons to the polling place for the purpose of voting. If it is not feasible to cause persons on the premises of a polling place awaiting an opportunity to claim their vote at the time the polling place is to be closed to move inside the structure in which the polling place is located, the election board shall cause those persons to be designated in some reasonable manner and shall not receive votes after that time from any persons except those voters so designated.