What is x when 90 divided by x equals 36?

To find the answer, just divide the dividend by the quotient: 90 ÷ 36 = 2.5

To prove this, let's compute 90 divided by 2.5: $\frac{90}{2.5} = 36$

How does it work?

Asking what the value of x could be when 90 divided by x gives a result of 36, is equivalent to solving the following equation:

$\frac{90}{x} = 36$

Multiply both sides by x: $\frac{90 x}{x} = 36 x$
$\frac{90 x}{x}$ is equivalent to $\frac{x}{x} \times 90$ , which simplifies to $1 \times 90$ (or just $90$ ).
Thus, the equation becomes: $90 = 36 x$
To find x, divide both sides by 36: $\frac{90}{36} = \frac{36 x}{36}$
Which gives, after simplification: $2.5 = x$ (or $x = 2.5$ )

So, if the dividend is 90 and the quotient is 36, the divisor is 2.5.