Go very hungry dividing food around a million (6)
I believe the answer is:
famish
'go very hungry' is the definition.
'dividing food around a million' is the wordplay.
'dividing food' becomes 'fish' (fish is a kind of food. I am not sure about the 'dividing' bit.).
'around' means one lot of letters goes inside another.
'million' becomes 'm' (abbreviation).
'a'+'m'='am'
'fish' placed around 'am' is 'FAMISH'.
(Other definitions for famish that I've seen before include "Deprive of cheer" , "Starve, deprive of food" , "Keep food from" , "Make very hungry" , "Weaken (one) with hunger" .)