Find: $14 \div \dfrac{5}{6}$

Hint: We use laws of number systems to get the value.

Complete Step by Step solution:

We have $14 \div \dfrac{5}{6} = $$\dfrac{{84}}{5}$
We know that whenever in finding value there is a division we convert division to multiplication by taking reciprocal of divisor. Here divisor is $\dfrac{5}{6}$

We can write given equation as $14 \times \dfrac{6}{5}$

Now, we will do the simplification like cancellation if possible if not then multiplying numerator with numerator and denominator with denominator to get a single rational number.

As, there is no cancellation possible in numerator and denominator.
Therefore, we have $\dfrac{{84}}{5}$

Here, is an improper fraction as its numerator is greater than that of the denominator. Hence, we write it as a mixed fraction.

On dividing $84$ by $5$ we will get $16$ as quotient and $4$ as of remainder. Therefore a mixed fraction of $\dfrac{{84}}{5}$ is $16\dfrac{4}{5}$.
Hence, the required value of $14 \div \dfrac{5}{6}$ is $16\dfrac{4}{5}$.

Note: We should be very careful while doing calculations and also express improper fraction to mixed fraction.