What is x when 84 divided by x equals 64?

To find the answer, just divide the dividend by the quotient: 84 ÷ 64 = 1.3125

To prove this, let's compute 84 divided by 1.3125: $\frac{84}{1.3125} = 64$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 64, is equivalent to solving the following equation:

$\frac{84}{x} = 64$

Multiply both sides by x: $\frac{84 x}{x} = 64 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 64 x$
To find x, divide both sides by 64: $\frac{84}{64} = \frac{64 x}{64}$
Which gives, after simplification: $1.3125 = x$ (or $x = 1.3125$ )

So, if the dividend is 84 and the quotient is 64, the divisor is 1.3125.