What is x when 38 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 38 ÷ 6 = 6.3333333333333

To prove this, let's compute 38 divided by 6.3333333333333: $\frac{38}{6.3333333333333} = 6$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{38}{x} = 6$

Multiply both sides by x: $\frac{38 x}{x} = 6 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 6 x$
To find x, divide both sides by 6: $\frac{38}{6} = \frac{6 x}{6}$
Which gives, after simplification: $6.3333333333333 = x$ (or $x = 6.3333333333333$ )

So, if the dividend is 38 and the quotient is 6, the divisor is 6.3333333333333.