What is x when 61 divided by x equals 84?

To find the answer, just divide the dividend by the quotient: 61 ÷ 84 = 0.72619047619048

To prove this, let's compute 61 divided by 0.72619047619048: $\frac{61}{0.72619047619048} = 84$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 84, is equivalent to solving the following equation:

$\frac{61}{x} = 84$

Multiply both sides by x: $\frac{61 x}{x} = 84 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 84 x$
To find x, divide both sides by 84: $\frac{61}{84} = \frac{84 x}{84}$
Which gives, after simplification: $0.72619047619048 = x$ (or $x = 0.72619047619048$ )

So, if the dividend is 61 and the quotient is 84, the divisor is 0.72619047619048.