What is x when 38 divided by x equals 36?

To find the answer, just divide the dividend by the quotient: 38 ÷ 36 = 1.0555555555556

To prove this, let's compute 38 divided by 1.0555555555556: $\frac{38}{1.0555555555556} = 36$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 36, is equivalent to solving the following equation:

$\frac{38}{x} = 36$

Multiply both sides by x: $\frac{38 x}{x} = 36 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 36 x$
To find x, divide both sides by 36: $\frac{38}{36} = \frac{36 x}{36}$
Which gives, after simplification: $1.0555555555556 = x$ (or $x = 1.0555555555556$ )

So, if the dividend is 38 and the quotient is 36, the divisor is 1.0555555555556.