How to customize a servo?

[moneybagsfor-rc]

Hey guys.

I have an application that needs a servo, but it seems like all servos are predesigned for steering or simple shifting. This servo I need for a more complex shifting mechanism.

This is a rough schematic of the operation I need.

First click of shifting button: servo rotates 1/4 a rotation
Second click of button: servo rotates another quarter of a rotation
Repeat another five times.

So how can I get a servo to do full rotations and also how do I program the servo to perform these operations?

I was thinking of just getting a small motor and hooking it up to an esc that can be programmed. But I have no idea what sort of esc would do this.

Any ideas?