Why should we support you?....................we know your type.............you would only go right out there and divide by zero

Whilst there is a similarity between the two problems, in the old days we had different solutions.

If you had a requirement for recursive processing you tackled it with sub-routines. Otherwise it wouldn't compile, or you got an error message when you ran the executable.

In the case of division by zero (which should produce infinity, so might be expected to take a little while) we would use an error message. In some statistical reports that is a valid answer so you would monitor for the error message and replace it with the "dead eight" symbol or "inf." if your font couldn't handle dead eight. Obviously we monitored for 0/0 and allowed that as "1" whch we usually printed as "-" to indicate a null value.

Nice of you to bring up problems we were dealing with 35 years ago