Observe that mod and div can be defined as functions from $Z^{\text{n}\text{o}\text{n}\text{n}\text{e}\text{g}}{Z}^{+}$to $Z.$ For each ordered pair $(n,d)$ consisting of a nonnegative integer $n$ and a positive integer $d,$ let

the nonnegative remainder obtained when $n$ is divided by $d).$

div$(n,d)=$ndivd $($the integer quotient obtained when $n$ is divided by $d).$

Find each of the following:

a$.$ mod$(67,10)$ and div$(67,10)$

b$.$ mod$(59,8)$ and div$(59,8)$

c$.$ mod$(30,5)$ and div$(30,5)$