What happens when you ask a computer for the remainder of negative seven divided by three? The answer depends on which programming language you're using — and behind that inconsistency lies one of computing's most persistent philosophical disagreements.

This episode pulls apart the modulo operator, a piece of syntax most programmers use without a second thought, and reveals the surprising complexity underneath. The conversation starts with the basics — clock arithmetic, wrapping values, the intuitive idea of "what's left over" — then quickly descends into the chaos that negative numbers introduce. It turns out mathematicians never fully agreed on how division should handle negatives, and programming languages inherited that confusion. C and Java truncate toward zero. Python rounds toward negative infinity. Each choice carries consequences,  ...