No, math cannot be done that way. "Partial division" and "partial multiplication"
do not even exist. Not only are these non-existent, and "can lead to errors" as you stated, I am stating to you as a fact that these are errors in themselves.
I am reporting this post of yours that I put in the quote box, and I am requesting a temporary ban on you for promoting false methods in solving and hindering/confusing the students seeking help, despite it being pointed out to you repeatedly and by multiple helpers.