Since we happen to use a base 10 system (for no other reason than we learn to count on 10 fingers), do problems like this really matter? Is there an equivalent observation to be had in binary, trinary, or any other base? If not, then why should we care about such silly patterns?
If you used a base 12 math system, 5 would STILL go in to 10 twice.
The functions of math don't change with your method of keeping track.
I thought about what you said as well.
try it in hexidecimal (base 16). 1 thru 10, plus A thru F.
old mainframe programmer speaks of nightmares from the past.
Read the article. The result has to do with properties of prime numbers.