What is x when 69 divided by x equals 55?

To find the answer, just divide the dividend by the quotient: 69 ÷ 55 = 1.2545454545455

To prove this, let's compute 69 divided by 1.2545454545455: $\frac{69}{1.2545454545455} = 55$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 55, is equivalent to solving the following equation:

$\frac{69}{x} = 55$

Multiply both sides by x: $\frac{69 x}{x} = 55 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 55 x$
To find x, divide both sides by 55: $\frac{69}{55} = \frac{55 x}{55}$
Which gives, after simplification: $1.2545454545455 = x$ (or $x = 1.2545454545455$ )

So, if the dividend is 69 and the quotient is 55, the divisor is 1.2545454545455.