Divide the polynomial (x^2 - 6x - 19) by (x - 3). Check your answer by multiplying the quotient with (x - 3) and adding the remainder. Which of the following options correctly represents the quotient and remainder?
A) (x - 9) with a remainder of -10
B) (x - 9) with a remainder of 10
C) (x - 7) with a remainder of -10
D) (x - 7) with a remainder of 10