Dancing with random girls at a club - How does it work?

Because I’m not well-versed at this sort of thing at all, what is the process here? Do I ask if they want to dance? Do I just go up to them and start dancing? Do I just keep dancing, and if I’m good than I’m supposed to wait for a girl to dance with me? Do I sort of “ease” into it, by dancing closer and closer to them until we are dance partners? I don’t have a fear of rejection, but I do have an IMMENSE fear of making people feel uncomfortable.

Girls – What do you prefer for random shmoes to do in these situations? (maybe you’d rather random shmoes just not dance with you at all?)

Guys – What is your “method” for this?