According to the problem, the expressions are
[tex]\begin{gathered} 4x^3+11x^2+13x+19 \\ x+2 \end{gathered}[/tex]To develop a long division solution, we solve as follows
As you can observe in the division above, the division is no exact with a reminder of 5.
Now, we use the division algorithm to express the result
[tex]\frac{\text{Dividend}}{\text{Divisior}}=quotient+\frac{re\min der}{\text{Divisor}}[/tex]