Out of curiosity, is that a hunch or are you aware of any schools teaching multiplication tables even in Kindergarten? This used to be done in second grade when I was a kid.
But don't ask me about division, my siblings/parents/whoever tried to explain it as "the opposite of multiplication", which was complete nonsensical gibberish and I didn't learn division until years later.
So I'm not saying it can't be done by any 5 year olds, but it seems young to teach this to the majority of 5 year olds.