As Fundamental of Mathematics, the division by zero was known as the generalized Moore-Penrose solution of the fundamental equation: ax=b.
Look the simple evidence of its importance: viXra:2010.0228 submitted on 2020-10-28 21:39:06, Division by Zero Calculus and Euclidean Geometry - Revolution in Euclidean Geometry
Look a simple video talk for its essence at some international conference: https://media.cmd.gunma-u.ac.jp/media/Play/ef7ca967c3fd4dabb188128fd6038cb81d
Book was published: INTRODUCTION TO THE DIVISION BY ZERO CALCULUS SABUROU SAITOH January, 2021 https://www.scirp.org/book/DetailedInforOfABook.aspx?bookID=2746 https://www.amazon.com/dp/1649970889?ref=myi_title_dp https://books.google.com.ua/books/about?id=BnkZEAAAQBAJ&redir_esc=y https://play.google.com/store/books/details?id=BnkZEAAAQBAJ https://plaza.rakuten.co.jp/reproducingkerne/
New Journal on DBZC: (https://romanpub.com/dbzc.php)