In many other languages, double negatives serve to emphasize negativity, not cancel it. Double negatives cancelling each other out is true in correct, formal, or technical English, but in various forms of informal or slang English, it can be used as emphasis.
Going off of an example provided by Urban Dictionary:
I've got no house, no car, no food, no nothing!
This is definitely not something you would say in a formal situation, and definitely an instance where the double negative is being used for emphasis and not literally "no nothing = anything".
I can't really think of an example where no nothing would appear in a sentence apart from telling someone they have absolutely nothing similar to the manner above.