### Assessing Positive Numbers

(Not necessarily whole numbers). Explain why we can write a=m_1b+r1 where m_1 is a non-negative integer and 0 less than or equal to r_1 less than b. Why are m_1 and r_1 unique? Continuing in this fashion, we can next write b=m_2r_1+r_2 with 0 less than or equal to r_2 less than r_1 and m_2 a non-negative integer. This procedure