Any time we need to divide.

When dividing by a binomial

When dividing by any polynomial.

Only when dividing by a linear factor with a leading coefficient of 1

$$5,\ \ 3,-9,\ \ 4,\ \ 2,-37$$  

$$5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 0,\ \ 2,-37$$  

$$5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 2,-37$$  

$$5,\ \ 3,\ \ 0,-9,\ \ 4,\ \ 2$$  

Cam wrote the remainder incorrectly.

Cam did not use a zero place holder for the x³ term.

Cam added instead of subtracting the rows.

Cam should have used -2 as his division since the factor was x-2.