What is x when 83 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 83 ÷ 11 = 7.5454545454545

To prove this, let's compute 83 divided by 7.5454545454545: $\frac{83}{7.5454545454545} = 11$

How does it work?

Asking what the value of x could be when 83 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{83}{x} = 11$

Multiply both sides by x: $\frac{83 x}{x} = 11 x$
$\frac{83 x}{x}$ is equivalent to $\frac{x}{x} \times 83$ , which simplifies to $1 \times 83$ (or just $83$ ).
Thus, the equation becomes: $83 = 11 x$
To find x, divide both sides by 11: $\frac{83}{11} = \frac{11 x}{11}$
Which gives, after simplification: $7.5454545454545 = x$ (or $x = 7.5454545454545$ )

So, if the dividend is 83 and the quotient is 11, the divisor is 7.5454545454545.