dropped mine off the first week of September and it showed up in the mail on Saturday. I was shocked to see it so early.
I just dropped mine off this past Monday, 9/30. I hope it doesn't take six months like others have experienced. I sent mine by registered mail.
Mailed mine off 4/9/13. Just got it today 10/7/13.
Once they actually started to process my application it did not take long. Maybe a fee weeks. I was "no" on all the major questions. No military, no arrest, no divorce and so on.