Can anyone please help explain what any of this means and how I could solve this? Many Thanks!

Step-by-step explanation:

step 1. this is a polynomial division problem

x^2 + 11x + 52

step 2. (x -3) [ x^3 + 8x^2 + 19x + 13

step 3. x^3 - 3x^2

step 4. 11x^2 + 19x + 13

step 5. 11x^2 - 33x

step 6. 52x + 13

step 7. 52x - 156

step 8. R -> 169

step 9. Ans: x^2 + 11x + 52 R 169

6 on both sides and twelve on the top and the bottom

step-by-step explanation: