How to Get It: Sylvan Learning (Tutoring.SylvanLearning.com), Tutor.com, TutorVista.com and Tutorzilla (Tutorzilla.com) all offer a good cross section of the kinds of remote-based tutoring jobs out there, and they all have great reputations with students and teachers. Since you will be working with children, you can expect a background check before you are hired.
The online application process for these jobs—or perhaps “gigs” is the better word, since they're all for independent contractors—is pretty simple and straightforward with very little required of candidates. Some of these opportunities—like the micro-jobs—you could very well apply and start the same day. And these jobs require very little commitment and can typically be done on your own schedule.