What is x when 83 divided by x equals 76?

To find the answer, just divide the dividend by the quotient: 83 ÷ 76 = 1.0921052631579

To prove this, let's compute 83 divided by 1.0921052631579: $\frac{83}{1.0921052631579} = 76$

How does it work?

Asking what the value of x could be when 83 divided by x gives a result of 76, is equivalent to solving the following equation:

$\frac{83}{x} = 76$

Multiply both sides by x: $\frac{83 x}{x} = 76 x$
$\frac{83 x}{x}$ is equivalent to $\frac{x}{x} \times 83$ , which simplifies to $1 \times 83$ (or just $83$ ).
Thus, the equation becomes: $83 = 76 x$
To find x, divide both sides by 76: $\frac{83}{76} = \frac{76 x}{76}$
Which gives, after simplification: $1.0921052631579 = x$ (or $x = 1.0921052631579$ )

So, if the dividend is 83 and the quotient is 76, the divisor is 1.0921052631579.