Division with remainder (polynomials)/Z mod 7/6X^4+2X^3+4X^2+2X+5/5X^2+3X+2/Exercise

Perform, in the polynomial ring $ℤ / (7) [X]$ , the division with remainder $\frac{P}{T}$ , where $P = 6 X^{4} + 2 X^{3} + 4 X^{2} + 2 X + 5$ and $T = 5 X^{2} + 3 X + 2$ .