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I don't see long division as some algorithm to be memorized. It is a fairly simple application of the theorem:

Dividend = Divisor * Quotient + Remainder. and the distributive law.

I was never taught long division as some algorithm to be followed and knowing what it accomplished and how has been enough to perform the operation with ease.

Contrasting that with stuff from later on in my life, I am not so confident with the math I picked up starting high-school. I guess I began following an approach that asked me to commit to memory - focusing on grades as opposed to concrete understanding.



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