What is x when 100 divided by x equals 31?

To find the answer, just divide the dividend by the quotient: 100 ÷ 31 = 3.2258064516129

To prove this, let's compute 100 divided by 3.2258064516129: $\frac{100}{3.2258064516129} = 31$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 31, is equivalent to solving the following equation:

$\frac{100}{x} = 31$

Multiply both sides by x: $\frac{100 x}{x} = 31 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 31 x$
To find x, divide both sides by 31: $\frac{100}{31} = \frac{31 x}{31}$
Which gives, after simplification: $3.2258064516129 = x$ (or $x = 3.2258064516129$ )

So, if the dividend is 100 and the quotient is 31, the divisor is 3.2258064516129.