Without working, accepting a number greedily (6)
I believe the answer is:
avidly
'greedily' is the definition.
(thesaurus)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for avidly that I've seen before include "Eagerly, enthusiastically" , "with enthusiasm" , "With eagerness" , "Eagerly, maybe greedily" , "Though exhibiting great zeal" .)