What is x when 67 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 67 ÷ 26 = 2.5769230769231

To prove this, let's compute 67 divided by 2.5769230769231: $\frac{67}{2.5769230769231} = 26$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{67}{x} = 26$

Multiply both sides by x: $\frac{67 x}{x} = 26 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 26 x$
To find x, divide both sides by 26: $\frac{67}{26} = \frac{26 x}{26}$
Which gives, after simplification: $2.5769230769231 = x$ (or $x = 2.5769230769231$ )

So, if the dividend is 67 and the quotient is 26, the divisor is 2.5769230769231.