What is x when 26 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 26 ÷ 97 = 0.2680412371134

To prove this, let's compute 26 divided by 0.2680412371134: $\frac{26}{0.2680412371134} = 97$

How does it work?

Asking what the value of x could be when 26 divided by x gives a result of 97, is equivalent to solving the following equation:

$\frac{26}{x} = 97$

Multiply both sides by x: $\frac{26 x}{x} = 97 x$
$\frac{26 x}{x}$ is equivalent to $\frac{x}{x} \times 26$ , which simplifies to $1 \times 26$ (or just $26$ ).
Thus, the equation becomes: $26 = 97 x$
To find x, divide both sides by 97: $\frac{26}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.2680412371134 = x$ (or $x = 0.2680412371134$ )

So, if the dividend is 26 and the quotient is 97, the divisor is 0.2680412371134.