Answer to Question #247185 in Discrete Mathematics for Alina

Question

Find a div b and a mod b when:

(a) a = 30303, b = 333

(b) a = −765432, b = 38271

Answer 1

(a)

$$a\ \text{div}\ b=30303\ \text{div}\ 333=91$$

$$333(91)=30303$$

$$a\mod b=30303\mod 333=0$$

(b)

$$a\ \text{div}\ b=−765432\ \text{div}\ 38271=-21$$

$$38271(-21)+38259=−765432$$

$$a\bmod b=−765432\bmod 38271=38259$$