What is x when 61 divided by x equals 22?

To find the answer, just divide the dividend by the quotient: 61 ÷ 22 = 2.7727272727273

To prove this, let's compute 61 divided by 2.7727272727273: $\frac{61}{2.7727272727273} = 22$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 22, is equivalent to solving the following equation:

$\frac{61}{x} = 22$

Multiply both sides by x: $\frac{61 x}{x} = 22 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 22 x$
To find x, divide both sides by 22: $\frac{61}{22} = \frac{22 x}{22}$
Which gives, after simplification: $2.7727272727273 = x$ (or $x = 2.7727272727273$ )

So, if the dividend is 61 and the quotient is 22, the divisor is 2.7727272727273.