A problem may have more than one solution. Concerning division by zero, I would like to distinguish two approaches:
Mainstream's approach: 1/0 is not defined.
Riemann's approach: 1/0 = infinite (on the Riemann sphere)
Saitoh's approach: 1/0 = 0 (on the horn torus)
Most people only know the Mainstream's approach and the Riemann's approach. It is important to popularize Saitoh's approach for several reasons, among them:
1. It is the approach used in the proof assistant Isabelle/HOL.
2. It is interesting to explore what appends when Riemann's approach is substituted by Saitoh approach in the theory of functions of a complex variable.
3. It is interesting to explore the possibility to eliminate the infinite in physics using Saitoh approach instead of renormalization.
Because there are many things to discover, it is important to make this knowledge accessible to the new generations. For example, high school students should know the advantages of 1/0 = 0.