# Difference between revisions of "Division Theorem"

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− | For any positive integers <math> a </math> and <math> b </math>, there exist unique integers <math> q </math> and <math> r </math> such that <math> b = qa + r </math> and <math> 0 \le r < a </math>, with <math> r = 0 </math> | + | For any positive integers <math> a </math> and <math> b </math>, there exist unique integers <math> q </math> and <math> r </math> such that <math> b = qa + r </math> and <math> 0 \le r < a </math>, with <math> r = 0 </math> if <math> a | b. </math> |

## Latest revision as of 15:45, 10 November 2011

For any positive integers and , there exist unique integers and such that and , with if