What is x when 31 divided by x equals 3?

To find the answer, just divide the dividend by the quotient: 31 ÷ 3 = 10.333333333333

To prove this, let's compute 31 divided by 10.333333333333: $\frac{31}{10.333333333333} = 3$

How does it work?

Asking what the value of x could be when 31 divided by x gives a result of 3, is equivalent to solving the following equation:

$\frac{31}{x} = 3$

Multiply both sides by x: $\frac{31 x}{x} = 3 x$
$\frac{31 x}{x}$ is equivalent to $\frac{x}{x} \times 31$ , which simplifies to $1 \times 31$ (or just $31$ ).
Thus, the equation becomes: $31 = 3 x$
To find x, divide both sides by 3: $\frac{31}{3} = \frac{3 x}{3}$
Which gives, after simplification: $10.333333333333 = x$ (or $x = 10.333333333333$ )

So, if the dividend is 31 and the quotient is 3, the divisor is 10.333333333333.