What is x when 61 divided by x equals 3?

To find the answer, just divide the dividend by the quotient: 61 ÷ 3 = 20.333333333333

To prove this, let's compute 61 divided by 20.333333333333: $\frac{61}{20.333333333333} = 3$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 3, is equivalent to solving the following equation:

$\frac{61}{x} = 3$

Multiply both sides by x: $\frac{61 x}{x} = 3 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 3 x$
To find x, divide both sides by 3: $\frac{61}{3} = \frac{3 x}{3}$
Which gives, after simplification: $20.333333333333 = x$ (or $x = 20.333333333333$ )

So, if the dividend is 61 and the quotient is 3, the divisor is 20.333333333333.