Answer the following and justify: What will be the quotient and remainder on division of $ax^{2} + bx + c$ by $px^{3} + qx^{2} + nx + s$,where $p \neq 0$?

(N/A) Given that,the divisor is $px^{3} + qx^{2} + nx + s$ (where $p \neq 0$) and the dividend is $ax^{2} + bx + c$.
We observe that the degree of the divisor is $3$ and the degree of the dividend is $2$.
According to the division algorithm for polynomials,if the degree of the divisor is greater than the degree of the dividend,the division cannot be performed in the standard sense of obtaining a non-zero quotient.
Therefore,the quotient is $0$ and the remainder is equal to the dividend itself,which is $ax^{2} + bx + c$.