What is x when 40 divided by x equals 69?

To find the answer, just divide the dividend by the quotient: 40 ÷ 69 = 0.57971014492754

To prove this, let's compute 40 divided by 0.57971014492754: $\frac{40}{0.57971014492754} = 69$

How does it work?

Asking what the value of x could be when 40 divided by x gives a result of 69, is equivalent to solving the following equation:

$\frac{40}{x} = 69$

Multiply both sides by x: $\frac{40 x}{x} = 69 x$
$\frac{40 x}{x}$ is equivalent to $\frac{x}{x} \times 40$ , which simplifies to $1 \times 40$ (or just $40$ ).
Thus, the equation becomes: $40 = 69 x$
To find x, divide both sides by 69: $\frac{40}{69} = \frac{69 x}{69}$
Which gives, after simplification: $0.57971014492754 = x$ (or $x = 0.57971014492754$ )

So, if the dividend is 40 and the quotient is 69, the divisor is 0.57971014492754.