What is x when 76 divided by x equals 84?

To find the answer, just divide the dividend by the quotient: 76 ÷ 84 = 0.9047619047619

To prove this, let's compute 76 divided by 0.9047619047619: $\frac{76}{0.9047619047619} = 84$

How does it work?

Asking what the value of x could be when 76 divided by x gives a result of 84, is equivalent to solving the following equation:

$\frac{76}{x} = 84$

Multiply both sides by x: $\frac{76 x}{x} = 84 x$
$\frac{76 x}{x}$ is equivalent to $\frac{x}{x} \times 76$ , which simplifies to $1 \times 76$ (or just $76$ ).
Thus, the equation becomes: $76 = 84 x$
To find x, divide both sides by 84: $\frac{76}{84} = \frac{84 x}{84}$
Which gives, after simplification: $0.9047619047619 = x$ (or $x = 0.9047619047619$ )

So, if the dividend is 76 and the quotient is 84, the divisor is 0.9047619047619.