Division by zero simply would work because you cannot divid something by zero, it would be the same as not dividing it at all. take a birthday cake, if you divide it by zero, u didn’t cut it at all
The sum of the residuals is always 0 so the plot will always be centered around the x-axis. An outlier is a value that is well separated from the rest of the data set. An outlier will have a large absolute residual value.