What is x when 45 divided by x equals 84?

To find the answer, just divide the dividend by the quotient: 45 ÷ 84 = 0.53571428571429

To prove this, let's compute 45 divided by 0.53571428571429: $\frac{45}{0.53571428571429} = 84$

How does it work?

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

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

Multiply both sides by x: $\frac{45 x}{x} = 84 x$
$\frac{45 x}{x}$ is equivalent to $\frac{x}{x} \times 45$ , which simplifies to $1 \times 45$ (or just $45$ ).
Thus, the equation becomes: $45 = 84 x$
To find x, divide both sides by 84: $\frac{45}{84} = \frac{84 x}{84}$
Which gives, after simplification: $0.53571428571429 = x$ (or $x = 0.53571428571429$ )

So, if the dividend is 45 and the quotient is 84, the divisor is 0.53571428571429.