What is x when 40 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 40 ÷ 26 = 1.5384615384615

To prove this, let's compute 40 divided by 1.5384615384615: $\frac{40}{1.5384615384615} = 26$

How does it work?

Asking what the value of x could be when 40 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{40}{x} = 26$

Multiply both sides by x: $\frac{40 x}{x} = 26 x$
$\frac{40 x}{x}$ is equivalent to $\frac{x}{x} \times 40$ , which simplifies to $1 \times 40$ (or just $40$ ).
Thus, the equation becomes: $40 = 26 x$
To find x, divide both sides by 26: $\frac{40}{26} = \frac{26 x}{26}$
Which gives, after simplification: $1.5384615384615 = x$ (or $x = 1.5384615384615$ )

So, if the dividend is 40 and the quotient is 26, the divisor is 1.5384615384615.