What is x when 61 divided by x equals 23?

To find the answer, just divide the dividend by the quotient: 61 ÷ 23 = 2.6521739130435

To prove this, let's compute 61 divided by 2.6521739130435: $\frac{61}{2.6521739130435} = 23$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 23, is equivalent to solving the following equation:

$\frac{61}{x} = 23$

Multiply both sides by x: $\frac{61 x}{x} = 23 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 23 x$
To find x, divide both sides by 23: $\frac{61}{23} = \frac{23 x}{23}$
Which gives, after simplification: $2.6521739130435 = x$ (or $x = 2.6521739130435$ )

So, if the dividend is 61 and the quotient is 23, the divisor is 2.6521739130435.