This is something that has continued to bother me in general, and recently I had multiple occasions where saying something like "2 divides 14 evenly" has confused students, They expected the result to be an even number, not $7$. I can't seem to find the concise word/wording for saying that a number divides another without a remainder? I would like to start using this instead of "evenly" for my students' benefit
Make it clear to your students to begin with that when it comes to divisibility, we are only ever interested in whole number divisibility. Otherwise, of course any non-zero number 'divides' any other number! (I assume you're working with the reals).
So it will then suffice to simply say
2 divides 14