>Quater also means multiply by 4.

Are you making the same typo or using a new word here? Let's get past the typo.

I have never seen the word quarter used to mean multiply by 4. If I was told to quarter something, I would divide it into fourths. When/where were you taught or come to understand that quarter means to multiply. If you quarter something, you went from one item to four items. Is that your understanding of multiplying? You didn't go to 4 items though you went to four 1/4 items.

I just have never in my experience seen quarter mean multiply by 4. If there's something to be learned, I'm up for learning it.