What is x when 26 divided by x equals 45?

To find the answer, just divide the dividend by the quotient: 26 ÷ 45 = 0.57777777777778

To prove this, let's compute 26 divided by 0.57777777777778: $\frac{26}{0.57777777777778} = 45$

How does it work?

Asking what the value of x could be when 26 divided by x gives a result of 45, is equivalent to solving the following equation:

$\frac{26}{x} = 45$

Multiply both sides by x: $\frac{26 x}{x} = 45 x$
$\frac{26 x}{x}$ is equivalent to $\frac{x}{x} \times 26$ , which simplifies to $1 \times 26$ (or just $26$ ).
Thus, the equation becomes: $26 = 45 x$
To find x, divide both sides by 45: $\frac{26}{45} = \frac{45 x}{45}$
Which gives, after simplification: $0.57777777777778 = x$ (or $x = 0.57777777777778$ )

So, if the dividend is 26 and the quotient is 45, the divisor is 0.57777777777778.