What is x when 55 divided by x equals 61?

To find the answer, just divide the dividend by the quotient: 55 ÷ 61 = 0.9016393442623

To prove this, let's compute 55 divided by 0.9016393442623: $\frac{55}{0.9016393442623} = 61$

How does it work?

Asking what the value of x could be when 55 divided by x gives a result of 61, is equivalent to solving the following equation:

$\frac{55}{x} = 61$

Multiply both sides by x: $\frac{55 x}{x} = 61 x$
$\frac{55 x}{x}$ is equivalent to $\frac{x}{x} \times 55$ , which simplifies to $1 \times 55$ (or just $55$ ).
Thus, the equation becomes: $55 = 61 x$
To find x, divide both sides by 61: $\frac{55}{61} = \frac{61 x}{61}$
Which gives, after simplification: $0.9016393442623 = x$ (or $x = 0.9016393442623$ )

So, if the dividend is 55 and the quotient is 61, the divisor is 0.9016393442623.