What is x when 8 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 8 ÷ 5 = 1.6

To prove this, let's compute 8 divided by 1.6: $\frac{8}{1.6} = 5$

How does it work?

Asking what the value of x could be when 8 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{8}{x} = 5$

Multiply both sides by x: $\frac{8 x}{x} = 5 x$
$\frac{8 x}{x}$ is equivalent to $\frac{x}{x} \times 8$ , which simplifies to $1 \times 8$ (or just $8$ ).
Thus, the equation becomes: $8 = 5 x$
To find x, divide both sides by 5: $\frac{8}{5} = \frac{5 x}{5}$
Which gives, after simplification: $1.6 = x$ (or $x = 1.6$ )

So, if the dividend is 8 and the quotient is 5, the divisor is 1.6.