The first screen depicts the council meeting hall. Here you witness the nomination of the two leading great powers.
On the second screen of the meeting you witness the voting of the council. Votes are entered on the ledger at the bottom and shown by small flags on the map. The votes come in order of the strength of that governor's support. For instance, if your great power is nominated you will notice your own home provinces voting for you first. As the process continues more reluctant governors elsewhere in the world may join your tally.