Join a club, organization, or class where you think you might find some like-minded people.  Maybe the Sierra Club, or an organization where you can do volunteer work. Take a martial arts or dance class somewhere.   Or take a class at a local college.  Some of those "experimental college" type classes draw in people from within the community, not just 18-year-old undergrads.  (I'm assuming you're a bit older, since most undergrads I've come across aren't divorced.)  The age thing is tricky for me, too.  I'm a grad student in my late-twenties, and I live in a a college town where most people I run into are either the locals (older, married, with kids) or the undergrads.  Finding friends hasn't been too difficult, but dating is. 

I have some friends who meet people through Craigslist. They put out an ad that's very upfront about what their intentions are, and see who responds. I'm never comfortable with this strategy, though. 

I'm no expert, but maybe you should just meet men and become their friends first and get to know them first, then see what happens. Don't meet them and jump right into a relationship with them just yet.

Men are going to want sex whether they know you're divorced or not.  You can still have good clean fun with them, just don't put out.  And if they get to pushy or bothersome, just say, "I don't see you in that way, can we still be friends?" 

I wouldn't recommend bars or clubs, you meet too many scum bags/moochers/crazies. Instead, make friends in places you frequent day to day, whether it be a grocery store, library, or even a park. Not to say you absolutely will not meet a scum bag/moocher/crazy there, but you'd probably be less likely. Oh, and no one would throw up on you in a grocery store, or be caught peeing in a fake plant.