What is x when 53 divided by x equals 55?

To find the answer, just divide the dividend by the quotient: 53 ÷ 55 = 0.96363636363636

To prove this, let's compute 53 divided by 0.96363636363636: $\frac{53}{0.96363636363636} = 55$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 55, is equivalent to solving the following equation:

$\frac{53}{x} = 55$

Multiply both sides by x: $\frac{53 x}{x} = 55 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 55 x$
To find x, divide both sides by 55: $\frac{53}{55} = \frac{55 x}{55}$
Which gives, after simplification: $0.96363636363636 = x$ (or $x = 0.96363636363636$ )

So, if the dividend is 53 and the quotient is 55, the divisor is 0.96363636363636.