When you start the game, select The Ottomans.

Step 1: Go here, and walk all over Georgia.

Step 2: Go here, and walk all over Georgia.

Step 3: Go here, and walk all over Georgia.

And there you have it:

For specifics, you'll need Exploration Ideas to be one of your first idea groups (it was my third). Getting cores close to the Atlantic helps (I no CB'd Morocco and took a few coastal provinces). To get the South Georgia I built a colony in Argentina so my ships could repair.