What is x when 30 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 30 ÷ 26 = 1.1538461538462

To prove this, let's compute 30 divided by 1.1538461538462: $\frac{30}{1.1538461538462} = 26$

How does it work?

Asking what the value of x could be when 30 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{30}{x} = 26$

Multiply both sides by x: $\frac{30 x}{x} = 26 x$
$\frac{30 x}{x}$ is equivalent to $\frac{x}{x} \times 30$ , which simplifies to $1 \times 30$ (or just $30$ ).
Thus, the equation becomes: $30 = 26 x$
To find x, divide both sides by 26: $\frac{30}{26} = \frac{26 x}{26}$
Which gives, after simplification: $1.1538461538462 = x$ (or $x = 1.1538461538462$ )

So, if the dividend is 30 and the quotient is 26, the divisor is 1.1538461538462.