I assert stopping immediately is much more practical. In many cases, you waste considerable amounts of processing power to reach a conclusion you often won't be able to use.

It depends on your use case.

Sure but what should be the default?

Rust and Haskell can solve this fairly well: both styles of dealing with errors are easily accessible.

Go solves this really badly.

As for specifically what to do about division: the right default depends on your application. Either way is defensible, and I would rather work on making it easy to pick either style in the language of your choice, than to worry too much about what the default should be.

That's a good point, sometimes this is what you want.