http://aggie-horticulture.tamu.edu/extension/ornamentals/airlayer/airlayer.html

In the search blank at the top of the page of the Fig Forum type in (rooting cuttings). You should get enough reading material to last awhile, and it will tell you numerous ways you can use the branch to form new fig trees, even after you have cut it off the tree.
The airlayering, as suggested by leon on the post above this one, is done while the branch is still on the tree, and is one of the better and surer ways to propagate fig trees.....

Wonderful, thank you both! :)

You could air-layer all or part of it before pruning, or root cuttings after pruning. If you can provide a high humidity environment, you can root some pretty big cuttings or a good size branch.