The most difficult part of the material was the proof for the division algorithm. I did not understand it the first time, but after reading over again it made more sense. Using the algorithm itself was not too difficult to understand. I think I have been using it since elementary school.
The most interesting part of the material is that we could actually prove something that just seems obvious. I had never though about trying to prove something so simple, but we need to if we are ever going to use it.
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