What is x when 38 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 38 ÷ 5 = 7.6

To prove this, let's compute 38 divided by 7.6: $\frac{38}{7.6} = 5$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{38}{x} = 5$

Multiply both sides by x: $\frac{38 x}{x} = 5 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 5 x$
To find x, divide both sides by 5: $\frac{38}{5} = \frac{5 x}{5}$
Which gives, after simplification: $7.6 = x$ (or $x = 7.6$ )

So, if the dividend is 38 and the quotient is 5, the divisor is 7.6.