This is the context, you are so hungry & you found a pot with very little food sticking on the bottom of the pot. You then scoop the little left-over food in the pot as much as possible to eat.
what word should I use?
I am hungry and dredge / scoop the little left-over food in the pot as much as possible with a spoon.
Dredge has a rather nasty connotation and wouldn't be used for food. Scoop may be right here, but I like the other user's suggestion of scrape. My recommendation would be to rephrase the sentence like this:
I am hungry so I scrape as much of the left-over food out of the pot as possible.
This is easier to understand, as I feel that you were trying to fit too many thoughts into one clause. I would recommend removing the word 'little' as it feels redundant. But if you wanted to emphasize the little amount of food int the pot, I would add it as an extra sentence.
I am hungry so I scrape as much of the left-over food out of the pot as possible. There was not very much left.
