The process for voting hasn't changed, just the device you are using to vote. When you go to the polls, you will still sign an Application to Vote as always.
Once you have signed your application, instead of receiving your punch card, you will receive a piece of paper with a four digit number on it. You then take the piece of paper with you to any one of the voting booths.
Enter the four digit number into the eSlate™, the appropriate ballot will appear, and you will then vote the ballot.