Divide :

$12\dfrac{1}{12}$ ÷ $\dfrac{5}{36}$

We have:

$\begin{array}{ll} \phantom{=} 12\dfrac{1}{12} ÷ \dfrac{5}{36} \\ = \dfrac{145}{12} ÷ \dfrac{5}{36} & \text{[Converting mixed to improper fraction]} \\ = \dfrac{145}{12} \times \dfrac{36}{5} & [\text{Reciprocal of } \dfrac{5}{36} \text{ is } \dfrac{36}{5}] \\ = \dfrac{29}{12} \times \dfrac{36}{1} & \text{[Simplifying 145 and 5 ⇒ Divide by 5]} \\ = \dfrac{29}{1} \times \dfrac{3}{1} & \text{[Simplifying 36 and 12 ⇒ Divide by 12]} \\ = \dfrac{29 \times 3}{1 \times 1} \\ = \dfrac{87}{1} \\ = 87 \end{array}$

∴ The answer is 87