What is x when 84 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 84 ÷ 26 = 3.2307692307692

To prove this, let's compute 84 divided by 3.2307692307692: $\frac{84}{3.2307692307692} = 26$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{84}{x} = 26$

Multiply both sides by x: $\frac{84 x}{x} = 26 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 26 x$
To find x, divide both sides by 26: $\frac{84}{26} = \frac{26 x}{26}$
Which gives, after simplification: $3.2307692307692 = x$ (or $x = 3.2307692307692$ )

So, if the dividend is 84 and the quotient is 26, the divisor is 3.2307692307692.