What is x when 56 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 56 ÷ 11 = 5.0909090909091

To prove this, let's compute 56 divided by 5.0909090909091: $\frac{56}{5.0909090909091} = 11$

How does it work?

Asking what the value of x could be when 56 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{56}{x} = 11$

Multiply both sides by x: $\frac{56 x}{x} = 11 x$
$\frac{56 x}{x}$ is equivalent to $\frac{x}{x} \times 56$ , which simplifies to $1 \times 56$ (or just $56$ ).
Thus, the equation becomes: $56 = 11 x$
To find x, divide both sides by 11: $\frac{56}{11} = \frac{11 x}{11}$
Which gives, after simplification: $5.0909090909091 = x$ (or $x = 5.0909090909091$ )

So, if the dividend is 56 and the quotient is 11, the divisor is 5.0909090909091.