How to make a frequency divider that is not a multiple of powers of 2?

Question

Circuit design

Good afternoon. I'm learning the basics of circuitry. Of course, the idea quickly appeared to make my own simple oscilloscope. The idea of ​​​​implementation comes to mind is simple - take readings from the ADC using the reference frequency and write them cyclically to the memory, a separate module reads from the memory and displays it on the screen.
But in an oscilloscope, usually the width of the window can be changed smoothly, and not jerkily. And the frequency divider divides by two (or powers of two). It comes to mind for each tick to increase the value of the counter, then take the remainder of the division by the number, and if it is 0, write the new value. However, the scheme seems overcomplicated. Is there an easier way to get frequencies that are not multiples of powers of two compared to the reference frequency?

Answer 1

Well, yes, the division is superfluous.
After resetting the counter, you immediately write the starting number into it.
It's called a counter.