What is x when 84 divided by x equals 56?

To find the answer, just divide the dividend by the quotient: 84 ÷ 56 = 1.5

To prove this, let's compute 84 divided by 1.5: $\frac{84}{1.5} = 56$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 56, is equivalent to solving the following equation:

$\frac{84}{x} = 56$

Multiply both sides by x: $\frac{84 x}{x} = 56 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 56 x$
To find x, divide both sides by 56: $\frac{84}{56} = \frac{56 x}{56}$
Which gives, after simplification: $1.5 = x$ (or $x = 1.5$ )

So, if the dividend is 84 and the quotient is 56, the divisor is 1.5.