I think it was a result of reading this MT article on division by Mark Simmons, part of #MayMTMonth.

I was at a BBQ today. There were three children (aged 3ish), but only two walkie-talkies. The adults had noticed the problem.

I offered Solution#1: Two divided by three is two-thirds, so each child gets 2/3 of a walkie-talkie each. Derision.

I wondered, at first out loud, and then to myself: what other solutions are possible?

Solution#2: Two divided by three is zero, remainder two. This might be equivalent to distracting the children's attention from the walkie-talkies. Tricky but possible. But then no-one gets to play with them.

Solution #3: Two divided by three is one, remainder negative one. Euclid doesn't allow this, I don't think. The equivalent? Two children get a walkie-talkie, one doesn't. Infeasible.

Solution #4. Permutations of ABC, so AB then AC then BC... commonly known as 'taking turns', or 'sharing'. Something extra is introduced - time - which requires something else - patience.

In the event, the walkie-talkies weren't working, and none of the children wanted to play with them. Problem solved.