I would like to increase the performance of a brushless motor by dividing the frequency of the three hall sensors that detect the speed. is it possible to have a scheme to perform?
You are missing some understanding. The sensors tell the controller the position of the rotor. This information is used by the controller to switch the phases at the correct time.
The YouTube video Brushless DC motor animation may be of help.
If you divide the frequency the controller will switch the phases at the wrong points and will not run correctly.