What is x when 87 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 87 ÷ 13 = 6.6923076923077

To prove this, let's compute 87 divided by 6.6923076923077: $\frac{87}{6.6923076923077} = 13$

How does it work?

Asking what the value of x could be when 87 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{87}{x} = 13$

Multiply both sides by x: $\frac{87 x}{x} = 13 x$
$\frac{87 x}{x}$ is equivalent to $\frac{x}{x} \times 87$ , which simplifies to $1 \times 87$ (or just $87$ ).
Thus, the equation becomes: $87 = 13 x$
To find x, divide both sides by 13: $\frac{87}{13} = \frac{13 x}{13}$
Which gives, after simplification: $6.6923076923077 = x$ (or $x = 6.6923076923077$ )

So, if the dividend is 87 and the quotient is 13, the divisor is 6.6923076923077.