What is x when 55 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 55 ÷ 5 = 11

To prove this, let's compute 55 divided by 11: $\frac{55}{11} = 5$

How does it work?

Asking what the value of x could be when 55 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{55}{x} = 5$

Multiply both sides by x: $\frac{55 x}{x} = 5 x$
$\frac{55 x}{x}$ is equivalent to $\frac{x}{x} \times 55$ , which simplifies to $1 \times 55$ (or just $55$ ).
Thus, the equation becomes: $55 = 5 x$
To find x, divide both sides by 5: $\frac{55}{5} = \frac{5 x}{5}$
Which gives, after simplification: $11 = x$ (or $x = 11$ )

So, if the dividend is 55 and the quotient is 5, the divisor is 11.