This may seem like a rather simple concept, but I'm trying to get an intuitive understanding of why we divide. Common formulas in statistics that use division are the calculation of the t statistic and variance. A less well known calculation in evolutionary biology that uses division is strength of female preference for males: Detectability x Honesty x Benefit from male/Costs of exerting choice.

So could someone provide a general, high level explanation of why we use division?

This may seem like a rather simple concept, but I'm trying to get an intuitive understanding of why we divide. Common formulas in statistics that use division are the calculation of the t statistic and variance. A less well known calculation in evolutionary biology that uses division is strength of female preference for males:

$$\frac{\text{Detectability} \times \text{Honesty} × \text{Benefit from male}}{\text{Costs of exerting choice}}$$

So could someone provide a general, high-level explanation of why we use division?