What are the quotient and remainder whena) 44 is divided by 8?________________b) 777 is divided by 21?________________c) -123 is divided by 19?________________d) -1 is divided by 23?________________e) -2002 is divided by 87?________________f) 0 is divided by 17?________________g) 1,234,567 is divided by 1001?________________h) -100 is divided by 101?

Solution:Step-1: Division algorithm:If and , then there are unique integers q and r , with , such that Here d is called the divisor. a is called the dividend. q is called the quotient. r is called the remainder.Note that the remainder is non negative , and less than the divisor. Step-2: a)In this problem we need to find the quotient and remainder when 44 is divided by 8 We know that 44 is not a prime number. When 44 is divided by 8 means 44= 8(5) +4 , where 5 is the quotient and 4 is the remainder. Therefore , when 44 is divided by 8 , the quotient is 5 and the remainder is 4 Step-3: b)In this problem we need to find the quotient and remainder when 777 is divided by 21. We know that 777 is not a prime number. When 777 is divided by 21 means 777 = 21(37)+ 0 ,where 37 is the quotient and 0is the remainder. Therefore , when 777 is divided by 21, the quotient is 37 and the remainder is 0.Step-4: c)In this problem we need to find the quotient and remainder when -123 is divided by 19. We know that 123 is not a prime number. When -123 is divided by 19 means 123 = 19(-7)+10 , where -7 is the quotient and 10 is the remainder. Therefore , when -123 is divided by 19 , the quotient is -7 and the remainder is 10Step-5: d)In this problem we need to find the quotient and remainder when -1 is divided by 23. When -1 is...