Unfortunately there are people like me who don't only feel a bit hungry, when I eat at a deficit there are times where I get so hungry my thoughts are completely consumed by the hunger. The only way for me to successfully lose weight was to have days where I simply eat nothing at all.

Sounds counter-intuitive but after getting over the initial extreme hunger I found that the hunger sensations would diminish into a background noise, of sorts. That and the rules are easy to follow: eat nothing. When I'd eat at a deficit I'd frequently justify to myself that eating a little bit more than I was planning on doing was ok because it was only a little. And then I'd do that several times until I felt completely satiated, defeating the purpose.