What is x when 76 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 76 ÷ 5 = 15.2

To prove this, let's compute 76 divided by 15.2: $\frac{76}{15.2} = 5$

How does it work?

Asking what the value of x could be when 76 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{76}{x} = 5$

Multiply both sides by x: $\frac{76 x}{x} = 5 x$
$\frac{76 x}{x}$ is equivalent to $\frac{x}{x} \times 76$ , which simplifies to $1 \times 76$ (or just $76$ ).
Thus, the equation becomes: $76 = 5 x$
To find x, divide both sides by 5: $\frac{76}{5} = \frac{5 x}{5}$
Which gives, after simplification: $15.2 = x$ (or $x = 15.2$ )

So, if the dividend is 76 and the quotient is 5, the divisor is 15.2.