Consider the integer 9876 being divided by 23

MATHEMATICS · Subjective · CBSE · Mathematics · Real Numbers · Real Numbers

Problem

Consider the integer 9876 being divided by 23. (i) Find the quotient

q

and remainder

r

obtained in the division. (ii) Verify that your values of

q

and

r

satisfy the relation

a = bq + r

for

a = 9876

and

b = 23

. (iii) Briefly state why the values of

q

and

r

found in part (i) are unique.