Patience ..... !!!!   I sand the whole blank to about 800 grit.  I use the point of a straight pin to remove the white stuff from the divots ... one divot at a time.  After I have cleaned out one divot, I dip the point of another pin into a small puddle of thin CA and transfer a tiny droplet to the cleaned divot, sticking the pin point into the divot.  I repeat this until the divot is filled with CA.  I wait about 15 seconds and spray the filled divot with a little bit of accelerator.  I wipe of the excess accelerator, inspect the divot and if it looks filled, I sand the area with 800 grit to smooth the surface of the divot.  Then I move on to the next divot and repeat.  After I have treated all the divots I can see I resand the whole blank, inspect, go over it with micromesh or finer sandpaper, and polish.  It's a painstaking process but worth it in the end if you value the blank.
It is helpful to have the first pin mounted in a pin vise to give you a little leverage cleaning the divots.  The second pin develops a growing blob of CA on its tip.  When the blob is small it helps pick up and transfer the droplet of CA. 
I took a long time typing this with interruptions.  I see that two got in ahead of me.  I also see that Ed recommends using a needle/pin.  I don't find it necessary to allow the CA to cure as long as he says.  After using the accelerator and wiping off the excess, I gently sand the divot and surrounding area.