What is x when 75 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 75 ÷ 5 = 15

To prove this, let's compute 75 divided by 15: $\frac{75}{15} = 5$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{75}{x} = 5$

Multiply both sides by x: $\frac{75 x}{x} = 5 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 5 x$
To find x, divide both sides by 5: $\frac{75}{5} = \frac{5 x}{5}$
Which gives, after simplification: $15 = x$ (or $x = 15$ )

So, if the dividend is 75 and the quotient is 5, the divisor is 15.