What is x when 76 divided by x equals 30?

To find the answer, just divide the dividend by the quotient: 76 ÷ 30 = 2.5333333333333

To prove this, let's compute 76 divided by 2.5333333333333: $\frac{76}{2.5333333333333} = 30$

How does it work?

Asking what the value of x could be when 76 divided by x gives a result of 30, is equivalent to solving the following equation:

$\frac{76}{x} = 30$

Multiply both sides by x: $\frac{76 x}{x} = 30 x$
$\frac{76 x}{x}$ is equivalent to $\frac{x}{x} \times 76$ , which simplifies to $1 \times 76$ (or just $76$ ).
Thus, the equation becomes: $76 = 30 x$
To find x, divide both sides by 30: $\frac{76}{30} = \frac{30 x}{30}$
Which gives, after simplification: $2.5333333333333 = x$ (or $x = 2.5333333333333$ )

So, if the dividend is 76 and the quotient is 30, the divisor is 2.5333333333333.