Counter: pulse every 8 clocks
You can solve this problem with just a couple of parts. TI makes logic parts in their 74AC logic family that operate correctly down to 1.5V. Use a 4 bit counter as shown below to repeatedly count from 8 to 15. Use the RCO output, which is a one clock wide pulse to reload the counter and to also drive an R/C circuit to produce the narrow pulse that you require. 



If you desire to produce the pulse for every 16 input cycles then just connect the D input to GND instead of being pulled up to the VCC rail.