What is x when 26 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 26 ÷ 38 = 0.68421052631579

To prove this, let's compute 26 divided by 0.68421052631579: $\frac{26}{0.68421052631579} = 38$

How does it work?

Asking what the value of x could be when 26 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{26}{x} = 38$

Multiply both sides by x: $\frac{26 x}{x} = 38 x$
$\frac{26 x}{x}$ is equivalent to $\frac{x}{x} \times 26$ , which simplifies to $1 \times 26$ (or just $26$ ).
Thus, the equation becomes: $26 = 38 x$
To find x, divide both sides by 38: $\frac{26}{38} = \frac{38 x}{38}$
Which gives, after simplification: $0.68421052631579 = x$ (or $x = 0.68421052631579$ )

So, if the dividend is 26 and the quotient is 38, the divisor is 0.68421052631579.