My coturnix (edited to clarify) have their food in a big frisbie. My husband bought it for the dog. She looked at him like he was a fool for getting something like that so I promptly repurposed it. They scratch in it but don't really kick a huge amount out. (Their pen has a solid bottom, though, so any they kick out can be found later.)
Now, I do have a couple of button quail that I need to have a discussion about this with. One dislikes the larger crumbles. He picks up the pieces and if he decides they are too big he clearly THROWS it aside. Then he goes back and tries another piece...
I have tryed chick feeders, parakeet feeders, you name it I've tryed it!
I think the chik feeders work the best.
My buttons just have small bowls, actually they are the bottoms of small butter tubs or cottage cheese containers. I just cut them down to about 1" tall. Whatever they (buttons) spill they get to clean up, they only get fed once a day and they have solid floors.
I think what the OP was asking about are coturnix that are kept in raised wire cages, if they spill it it goes on the ground.
The coturnix have the frisbie. Actually, one pen of button quail have a frisbie, too. They love it.
The rest of the buttons have a variety of things -- some have jar lids, a couple have chick feeders. What works best for me are the super small canning jars -- I have a couple dozen TINY ones that only hold 4 ounces. These aren't the standard 1 cup jelly jars but are half that. It's not even worth canning in them (the lids cost more than the food that would go in them). However, because I haven't seen them again, I've been hesitant to get rid of them. I'm glad I kept them as they are PERFECT food and water dishes for the buttons!