Dividing Current to 10 outputs from 5V source
The current of the voltage source will automatically be divided between each board as needed. No need to get fancy.

You can just connect all those board in parallel. In fact that's what your schematic actually does. You just added 10 resistors that will do nothing but waste power, remove those.

I would suggest adding a filter/reservoir capacitor between ground and Vin on each board as close as possible to that board. This will reduce noise that can affect the output and the spikes in voltage when a board suddenly needs to draw more current.