What is x when 84 divided by x equals 31?

To find the answer, just divide the dividend by the quotient: 84 ÷ 31 = 2.7096774193548

To prove this, let's compute 84 divided by 2.7096774193548: $\frac{84}{2.7096774193548} = 31$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 31, is equivalent to solving the following equation:

$\frac{84}{x} = 31$

Multiply both sides by x: $\frac{84 x}{x} = 31 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 31 x$
To find x, divide both sides by 31: $\frac{84}{31} = \frac{31 x}{31}$
Which gives, after simplification: $2.7096774193548 = x$ (or $x = 2.7096774193548$ )

So, if the dividend is 84 and the quotient is 31, the divisor is 2.7096774193548.