How does mathematics avoid technical debt? Like "division by zero is one and only one of the following: a) zero in the case of 1,273 historical contexts where

How does mathematics avoid technical debt? Like "division by zero is one and only one of the following: a) zero in the case of 1,273 historical contexts where that answer just made things work out smoothly for everyone involved, b) zero in a new case, pending addition to the official tally in 'a' above, c) infinity, for use in science fiction, or d) undefined."