What is x when 76 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 76 ÷ 27 = 2.8148148148148

To prove this, let's compute 76 divided by 2.8148148148148: $\frac{76}{2.8148148148148} = 27$

How does it work?

Asking what the value of x could be when 76 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{76}{x} = 27$

Multiply both sides by x: $\frac{76 x}{x} = 27 x$
$\frac{76 x}{x}$ is equivalent to $\frac{x}{x} \times 76$ , which simplifies to $1 \times 76$ (or just $76$ ).
Thus, the equation becomes: $76 = 27 x$
To find x, divide both sides by 27: $\frac{76}{27} = \frac{27 x}{27}$
Which gives, after simplification: $2.8148148148148 = x$ (or $x = 2.8148148148148$ )

So, if the dividend is 76 and the quotient is 27, the divisor is 2.8148148148148.