What is x when 36 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 36 ÷ 6 = 6

To prove this, let's compute 36 divided by 6: $\frac{36}{6} = 6$

How does it work?

Asking what the value of x could be when 36 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{36}{x} = 6$

Multiply both sides by x: $\frac{36 x}{x} = 6 x$
$\frac{36 x}{x}$ is equivalent to $\frac{x}{x} \times 36$ , which simplifies to $1 \times 36$ (or just $36$ ).
Thus, the equation becomes: $36 = 6 x$
To find x, divide both sides by 6: $\frac{36}{6} = \frac{6 x}{6}$
Which gives, after simplification: $6 = x$ (or $x = 6$ )

So, if the dividend is 36 and the quotient is 6, the divisor is 6.