What is x when 100 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 100 ÷ 13 = 7.6923076923077

To prove this, let's compute 100 divided by 7.6923076923077: $\frac{100}{7.6923076923077} = 13$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{100}{x} = 13$

Multiply both sides by x: $\frac{100 x}{x} = 13 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 13 x$
To find x, divide both sides by 13: $\frac{100}{13} = \frac{13 x}{13}$
Which gives, after simplification: $7.6923076923077 = x$ (or $x = 7.6923076923077$ )

So, if the dividend is 100 and the quotient is 13, the divisor is 7.6923076923077.