   Chapter 2.3, Problem 9E

Chapter
Section
Textbook Problem

Write a and b as given in Exercises 3 − 16 , find the q and r that satisfy the condition in a Division Algorithm. a = − 863   ,       b =   17

To determine

The q and r that satisfy the conditions in the Division Algorithm, where a=863,b=17.

Explanation

Given information:

a=863,b=17.

Formula used:

Division Algorithm:

Let a and b be integers with b>0. Then, there exist unique integers q and r, such that

a=bq+r with 0r<b.

Explanation:

Let a=863 and b=17.

By Division Algorithm, to find the quotient q and remainder r.

With a=863 and b=17, so long division gives

863=(17)(50)+(13)

Here, a is negative

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