I'll give you a few examples for uncountable nouns: water (or any other liquid or gas), money, sugar, salt, flour, sand, litter...
You can count the bottles of water, the coins and banknotes, the spoons of sugar, the cups of flour, the bag of sand etc. But what you really count then is the bottles, spoons, cups, bags not the stuff inside the bin.
It would be a real Sisyphus task to do it but in fact you can count experiences, interests, preferences, ideas, thoughts etc. I hope this makes it a bit clearer for you.