Historically, the Ottomans did make it all the way to Vienna and were able to siege the city back in 1529, however they lost and were never able to advance any further into Europe after just dominating everything up to that point. There was then a battle in Vienna in 1683 where the Ottomans were once again defeated and at the end of that war a coalition of chirstian nations was ableto force the Ottomans to give up their territory in central Europe. After that the empire slowly started to collapse.
At the first siege of Vienna Ottomans were not defeated. Due to rain and mud on their marching route they had to leave heavy cannons back and couldn't bring them to the gates of Vienna. Suleyman I. himself was leading this campaign and he saw that without these cannons he can't capture the city. They lifted the siege without any battle or any other decisive moment against them.
The second siege of Vienna was 1 day away from succeeding, but due to - some talk about arrogance - of the commander they didn't assault the city. Others say that Kara Mustafa (the campaign leader and Grand Vizier) didn't allow an assault because he feared that the elite Janissary corps would pillage the city and leave it in a bad condition. At that point Janissaries became an uncontrollable disease which secretly ruled over the empire by causing revolts against the Sultan himself. They even went that far to kill one Sultan and use their own supported member of the Ottman dynasty.
@CanOmer
When talking about "surprisingly well" I talk in game terms because Ottomans normally collapse. I agree with you that the Ottoman Empire is left without special attention by any designer. It seems people really dont know about them or simply underestimate their role. Historical strong countries like France or Spain get tweaks and workarounds so they can reach their historical peak, but not the Ottomans which almost always fail.
I haven't seen OE surviving 100 years out of time frame in a long time now and was happy they finally did, though MEIOU represents them way better than vanilla EU3 which focusses on Europe, Japan and China.