What is x when 87 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 87 ÷ 8 = 10.875

To prove this, let's compute 87 divided by 10.875: $\frac{87}{10.875} = 8$

How does it work?

Asking what the value of x could be when 87 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{87}{x} = 8$

Multiply both sides by x: $\frac{87 x}{x} = 8 x$
$\frac{87 x}{x}$ is equivalent to $\frac{x}{x} \times 87$ , which simplifies to $1 \times 87$ (or just $87$ ).
Thus, the equation becomes: $87 = 8 x$
To find x, divide both sides by 8: $\frac{87}{8} = \frac{8 x}{8}$
Which gives, after simplification: $10.875 = x$ (or $x = 10.875$ )

So, if the dividend is 87 and the quotient is 8, the divisor is 10.875.