Most stepper motors are 1.8 degrees per step.
So given from your figures that 3.6 degrees will move 15.7 cm then 1 degree will move 4.36cm
Taking 1.8 degrees and microstep this by 10 will give 0.18 degrees which will give 0.79cm on the target.
Is this good enough?
See
http://www.geckodrives.com for more info on micro stepping motor drives, You need the G201.
John S.