What is x when 64 divided by x equals 55?

To find the answer, just divide the dividend by the quotient: 64 ÷ 55 = 1.1636363636364

To prove this, let's compute 64 divided by 1.1636363636364: $\frac{64}{1.1636363636364} = 55$

How does it work?

Asking what the value of x could be when 64 divided by x gives a result of 55, is equivalent to solving the following equation:

$\frac{64}{x} = 55$

Multiply both sides by x: $\frac{64 x}{x} = 55 x$
$\frac{64 x}{x}$ is equivalent to $\frac{x}{x} \times 64$ , which simplifies to $1 \times 64$ (or just $64$ ).
Thus, the equation becomes: $64 = 55 x$
To find x, divide both sides by 55: $\frac{64}{55} = \frac{55 x}{55}$
Which gives, after simplification: $1.1636363636364 = x$ (or $x = 1.1636363636364$ )

So, if the dividend is 64 and the quotient is 55, the divisor is 1.1636363636364.