Living alone means pockets of grossness can happen in a relatively normal looking house. I'm the only one who sees certain things so I'm not always super picky about how they are cleaned. Especially if, like a microwave, the pocket comes with it's own door that you can shut and forget that you said "YUCK" out loud when you opened it.
It was gross, ok? And I'm not going to post pictures of it here because I didn't take any because I was in a hurry to clean. But I tried this technique (click on the image to see the pin and subsequently the webpage for a full description) and it worked really nicely! You still (if you have let things get as bad as I did) have to scrub a little, but a wet dishcloth was all it took. I highly recommend this!