Find the quotient and remainder when $x^4-11x^3+44x^2-76x+48$ is divided by $x^2-7x+12$

Quotient is $x^2-4x+4$

Remainder is $0x+0=0$

Quotient is $x^2-4x+4$

Remainder is $x+3=0$

Quotient is $x^2-4x+2$

Remainder is $0x+0=0$

Quotient is $x^2-x+1$

Remainder is $0x+0=0$