Voting may commence as soon as the polls are opened, and may be continued during all the time the polls remain opened. As soon as the polls are closed, the judges shall open the ballot box and commence counting the votes; and in no case shall the ballot box be removed from the room in which the election is held until all the ballots have been counted. The counting of ballots shall in all cases be public. The ballots shall be taken out, one by one, by the inspector or one of the judges, who shall open them and read aloud the names of each person contained therein and the office for which every such person is voted for. Each clerk shall write down each office to be filled, and the name of each person voted for for such office, and shall keep the number of votes by tallies, as they are read aloud by the inspector or judge. The counting of votes shall be continued without adjournment until all have been counted.