What is x when 75 divided by x equals 31?

To find the answer, just divide the dividend by the quotient: 75 ÷ 31 = 2.4193548387097

To prove this, let's compute 75 divided by 2.4193548387097: $\frac{75}{2.4193548387097} = 31$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 31, is equivalent to solving the following equation:

$\frac{75}{x} = 31$

Multiply both sides by x: $\frac{75 x}{x} = 31 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 31 x$
To find x, divide both sides by 31: $\frac{75}{31} = \frac{31 x}{31}$
Which gives, after simplification: $2.4193548387097 = x$ (or $x = 2.4193548387097$ )

So, if the dividend is 75 and the quotient is 31, the divisor is 2.4193548387097.