Equal Quotient Consecutive Divisor

Find the number of ordered pairs of positive integers $(a,b)$ with $1\leq a \leq 100$ and $1\leq b \leq 100$ such that the quotient of $a$ when divided by $b$ equals the quotient of $a$ when divided by $(b+1)$ .

For instance, $(8,{\color{#20A900}3})$ is such a pair, as when $8$ is divided by $\color{#20A900}3$ , the quotient is $\color{#3D99F6} 2$ , and when $8$ is divided by $({\color{#20A900}3}+1)$ , the quotient is $\color{#3D99F6} 2$ again.