What is x when 69 divided by x equals 84?

To find the answer, just divide the dividend by the quotient: 69 ÷ 84 = 0.82142857142857

To prove this, let's compute 69 divided by 0.82142857142857: $\frac{69}{0.82142857142857} = 84$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 84, is equivalent to solving the following equation:

$\frac{69}{x} = 84$

Multiply both sides by x: $\frac{69 x}{x} = 84 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 84 x$
To find x, divide both sides by 84: $\frac{69}{84} = \frac{84 x}{84}$
Which gives, after simplification: $0.82142857142857 = x$ (or $x = 0.82142857142857$ )

So, if the dividend is 69 and the quotient is 84, the divisor is 0.82142857142857.