What is x when 83 divided by x equals 12?

To find the answer, just divide the dividend by the quotient: 83 ÷ 12 = 6.9166666666667

To prove this, let's compute 83 divided by 6.9166666666667: $\frac{83}{6.9166666666667} = 12$

How does it work?

Asking what the value of x could be when 83 divided by x gives a result of 12, is equivalent to solving the following equation:

$\frac{83}{x} = 12$

Multiply both sides by x: $\frac{83 x}{x} = 12 x$
$\frac{83 x}{x}$ is equivalent to $\frac{x}{x} \times 83$ , which simplifies to $1 \times 83$ (or just $83$ ).
Thus, the equation becomes: $83 = 12 x$
To find x, divide both sides by 12: $\frac{83}{12} = \frac{12 x}{12}$
Which gives, after simplification: $6.9166666666667 = x$ (or $x = 6.9166666666667$ )

So, if the dividend is 83 and the quotient is 12, the divisor is 6.9166666666667.