What is x when 55 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 55 ÷ 10 = 5.5

To prove this, let's compute 55 divided by 5.5: $\frac{55}{5.5} = 10$

How does it work?

Asking what the value of x could be when 55 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{55}{x} = 10$

Multiply both sides by x: $\frac{55 x}{x} = 10 x$
$\frac{55 x}{x}$ is equivalent to $\frac{x}{x} \times 55$ , which simplifies to $1 \times 55$ (or just $55$ ).
Thus, the equation becomes: $55 = 10 x$
To find x, divide both sides by 10: $\frac{55}{10} = \frac{10 x}{10}$
Which gives, after simplification: $5.5 = x$ (or $x = 5.5$ )

So, if the dividend is 55 and the quotient is 10, the divisor is 5.5.