What is x when 83 divided by x equals 31?

To find the answer, just divide the dividend by the quotient: 83 ÷ 31 = 2.6774193548387

To prove this, let's compute 83 divided by 2.6774193548387: $\frac{83}{2.6774193548387} = 31$

How does it work?

Asking what the value of x could be when 83 divided by x gives a result of 31, is equivalent to solving the following equation:

$\frac{83}{x} = 31$

Multiply both sides by x: $\frac{83 x}{x} = 31 x$
$\frac{83 x}{x}$ is equivalent to $\frac{x}{x} \times 83$ , which simplifies to $1 \times 83$ (or just $83$ ).
Thus, the equation becomes: $83 = 31 x$
To find x, divide both sides by 31: $\frac{83}{31} = \frac{31 x}{31}$
Which gives, after simplification: $2.6774193548387 = x$ (or $x = 2.6774193548387$ )

So, if the dividend is 83 and the quotient is 31, the divisor is 2.6774193548387.