What is x when 58 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 58 ÷ 5 = 11.6

To prove this, let's compute 58 divided by 11.6: $\frac{58}{11.6} = 5$

How does it work?

Asking what the value of x could be when 58 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{58}{x} = 5$

Multiply both sides by x: $\frac{58 x}{x} = 5 x$
$\frac{58 x}{x}$ is equivalent to $\frac{x}{x} \times 58$ , which simplifies to $1 \times 58$ (or just $58$ ).
Thus, the equation becomes: $58 = 5 x$
To find x, divide both sides by 5: $\frac{58}{5} = \frac{5 x}{5}$
Which gives, after simplification: $11.6 = x$ (or $x = 11.6$ )

So, if the dividend is 58 and the quotient is 5, the divisor is 11.6.