I germinated the seeds this February, I used the Black Mission dried figs from a Trader Joe's. What I did was the following.
Put the pieces of the dried fig in a cup with plain water overnight. The next days the flesh becomes very soft, separate the sees as well as you can by simply mixing with a spoon. Change the water (now you will have the seeds at the bottom but not very clean), wait one more day. Clean again, discard the seeds that don't sink, they are duds, add fresh water and wait one more day. On the 3rd day the seeds are mostly clean and nicely soaked. No treatment was used.
For germinating I used the seed mix in a yoghurt cup covered by some wrap. Remove the cover when you see the green leaves to start appearing. Water as needed but don't drown them.
See the fig photo today attached. It grows faster than any of my cuttings, btw!