I have a surprising number of people ask me how to get published. Here's the best advice I can offer: write something that people will actually want to read—that YOU would actually want to read. Understand that a first draft isn't going to dazzle anyone, and refine and revise until you're so sick of looking at it that it makes you want to scream. Then do some research (a lot of research—perhaps months of research) on how to properly submit a manuscript, and who you feel could be a good publisher for you (I suggest starting here: duotrope.com.) It will probably take some time to hear back—use that time to revise. If you get a rejection letter, don't worry—every writer gets them.
The bottom line is this: writing is work. Don't fool yourself into thinking that you can whip something up and the world is going to fawn all over you. The purpose of a first draft is to get the story down on paper—it is then your responsibility to make sure it actually portrays what you intended.
Being a serious writer will take hours of your life. It will mean sacrificing other things to make it happen. It will mean exposing yourself to the core, while simultaneously not giving a crap that people can see that much of you.
It is work. To assume it is anything but that is foolish. Seeing your name in print is but a very small reward for a very large investment of time...