Could I get a critique of an addition to my Web site (knowledge of modular arithmetic required)?

I posted previously on the topic covered and found that a lot of people could not follow what I was saying, so I reworked it. This is intended as part of an introduction to modular arithmetic. Let me know if you can follow the explanation and, if not, tell me where you get lost. Assume that any difficulty in following what I wrote is my fault. Peg solitaire and modular arithmetic