What is x when 55 divided by x equals 39?

To find the answer, just divide the dividend by the quotient: 55 ÷ 39 = 1.4102564102564

To prove this, let's compute 55 divided by 1.4102564102564: $\frac{55}{1.4102564102564} = 39$

How does it work?

Asking what the value of x could be when 55 divided by x gives a result of 39, is equivalent to solving the following equation:

$\frac{55}{x} = 39$

Multiply both sides by x: $\frac{55 x}{x} = 39 x$
$\frac{55 x}{x}$ is equivalent to $\frac{x}{x} \times 55$ , which simplifies to $1 \times 55$ (or just $55$ ).
Thus, the equation becomes: $55 = 39 x$
To find x, divide both sides by 39: $\frac{55}{39} = \frac{39 x}{39}$
Which gives, after simplification: $1.4102564102564 = x$ (or $x = 1.4102564102564$ )

So, if the dividend is 55 and the quotient is 39, the divisor is 1.4102564102564.