What is x when 84 divided by x equals 45?

To find the answer, just divide the dividend by the quotient: 84 ÷ 45 = 1.8666666666667

To prove this, let's compute 84 divided by 1.8666666666667: $\frac{84}{1.8666666666667} = 45$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 45, is equivalent to solving the following equation:

$\frac{84}{x} = 45$

Multiply both sides by x: $\frac{84 x}{x} = 45 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 45 x$
To find x, divide both sides by 45: $\frac{84}{45} = \frac{45 x}{45}$
Which gives, after simplification: $1.8666666666667 = x$ (or $x = 1.8666666666667$ )

So, if the dividend is 84 and the quotient is 45, the divisor is 1.8666666666667.