What is x when 31 divided by x equals 32?

To find the answer, just divide the dividend by the quotient: 31 ÷ 32 = 0.96875

To prove this, let's compute 31 divided by 0.96875: $\frac{31}{0.96875} = 32$

How does it work?

Asking what the value of x could be when 31 divided by x gives a result of 32, is equivalent to solving the following equation:

$\frac{31}{x} = 32$

Multiply both sides by x: $\frac{31 x}{x} = 32 x$
$\frac{31 x}{x}$ is equivalent to $\frac{x}{x} \times 31$ , which simplifies to $1 \times 31$ (or just $31$ ).
Thus, the equation becomes: $31 = 32 x$
To find x, divide both sides by 32: $\frac{31}{32} = \frac{32 x}{32}$
Which gives, after simplification: $0.96875 = x$ (or $x = 0.96875$ )

So, if the dividend is 31 and the quotient is 32, the divisor is 0.96875.