I asked this question when I first joined. the division you are in is just who you typically roll with and what you display on the forum. You can however change divisions by contacting division leaders of your division and the division you wish to join. Also should you ever get to the admin rank you will have admin across all eGO supported games.
ALSO PLEASE NOTE: I AM SIMPLY RELAYING THE INFORMATION THAT WAS GIVEN TO ME WHEN I ASKED. THIS ANSWER MAY NOT BE 100% ACCURATE SO ANY HIGHER RANKS PLEASE CORRECT ME IF I'M WRONG.
^ I did that just so it didn't seem like I was posing as some sort of admin.
That's perfectly fine, but I was thinking of applying to both BF3 and LoL divisions, as they are the only two games I play out of all the ones on the list.
You are joining one division merely as a statistical purpose from my understanding. You are however, free to play any game that we support and join the servers and if/when promoted to administrator, go through the admin training, can begin admining