What is x when 11 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 11 ÷ 7 = 1.5714285714286

To prove this, let's compute 11 divided by 1.5714285714286: $\frac{11}{1.5714285714286} = 7$

How does it work?

Asking what the value of x could be when 11 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{11}{x} = 7$

Multiply both sides by x: $\frac{11 x}{x} = 7 x$
$\frac{11 x}{x}$ is equivalent to $\frac{x}{x} \times 11$ , which simplifies to $1 \times 11$ (or just $11$ ).
Thus, the equation becomes: $11 = 7 x$
To find x, divide both sides by 7: $\frac{11}{7} = \frac{7 x}{7}$
Which gives, after simplification: $1.5714285714286 = x$ (or $x = 1.5714285714286$ )

So, if the dividend is 11 and the quotient is 7, the divisor is 1.5714285714286.