The first step is an online application. I got a response by e-mail the day after I submitted my application. There's a brief screening interview by phone, and, if you pass that, you do a mock teaching session, also on the phone, with an LSAT question they give you in advance.
The material I was given to prepare the question was excellent. It looked like it was taken from their instructor manual. It had the themes and important points a teacher should bring up in class, which made the interview prep really reasonable and doable. I wasn't floating around wondering what they wanted of me.
My interviewer was very nice, personable, and kind.