Meet Jacob M. Appel. Dude is a doctor lawyer
Sidebar: I actually don't know Jacob in real life, so I suppose my wishing him a happy birthday is somewhat creepy. Hopefully he won't be freaked out when I friend him on Facebook.
The point of this story, though: Jacob has published short stories in some of the most prestigious literary journals and magazines in the country, but he also garnered over eleven thousand rejections in the process. How many have you acquired, gentle reader? One? Ten? A hundred? If so, keep at it, because until you top Jacob's high score, I don't want to hear about you quitting the writing racket. When you're a fancy published author one, two, five, or fifteen years down the line, you can use collages of your rejection slips as the endpapers of your book, or at the very least give it a delightfully snarky title. No self-publishing, though; we all know how I feel about that.
If you've got any uplifting stories of literary success despite myriad rejections, feel free to share them in the comments!