Divison Algorithm

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The Integer Division Algorithm

a mid b : http://me2.do/Fdzd5xLk

Euclid's Lemma : http://me2.do/FncUuYEz

a=mn,n ge m (a,m,n in mathbb{N}) Rightarrow sqrt{a} ge m : http://me2.do/GhM2CWDn

Canonical Representation of a Positive Integer : http://me2.do/GZbmldYL

a equiv b (mod c) : http://me2.do/xKjxDDF3

Polynomial Remainder Theorem : http://me2.do/x1dKySlc

f(x)=a_n x^n+a_{n-1}x^{n-1}+cdots+a_1 x+a_0 ( a_n neq 0 a_i in mathbb Z ) : http://me2.do/xnSF5E6X