Hi jaru-eri
the motor you have can not be used with the remote controlled stepper driver you have
DC Adjustable Speed Stepper Motor Pulse Driver Controller with Remote Control | eBay
I can not see any current limiting on the control board so you need to use low current 5 Volt motors
It looks like an ATMEL micro control IC is driving the motor directly
you can use 4 , 6 or 8 wire but not the 5 wire
with the 8 wire motors you will need the data sheet to identify which pair coils are wound together and when correctly phased,
can be connected in parallel or series to form a single coil
John