In this post I would like to share my intuitive understanding of ceiling and floor notations. Let's begin. The intuitive difference between $\lceil n/5 \rceil$ and $\lfloor n/5 \rfloor$ is quite straight forward. 1. $\lfloor n/5 \rfloor$ A floor notation can be understood as the quotient in a division. And by using this property(deriven from its definition) we can write a modular notation withou..