What is x when 71 divided by x equals 40?

To find the answer, just divide the dividend by the quotient: 71 ÷ 40 = 1.775

To prove this, let's compute 71 divided by 1.775: $\frac{71}{1.775} = 40$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 40, is equivalent to solving the following equation:

$\frac{71}{x} = 40$

Multiply both sides by x: $\frac{71 x}{x} = 40 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 40 x$
To find x, divide both sides by 40: $\frac{71}{40} = \frac{40 x}{40}$
Which gives, after simplification: $1.775 = x$ (or $x = 1.775$ )

So, if the dividend is 71 and the quotient is 40, the divisor is 1.775.