What is x when 71 divided by x equals 24?

To find the answer, just divide the dividend by the quotient: 71 ÷ 24 = 2.9583333333333

To prove this, let's compute 71 divided by 2.9583333333333: $\frac{71}{2.9583333333333} = 24$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 24, is equivalent to solving the following equation:

$\frac{71}{x} = 24$

Multiply both sides by x: $\frac{71 x}{x} = 24 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 24 x$
To find x, divide both sides by 24: $\frac{71}{24} = \frac{24 x}{24}$
Which gives, after simplification: $2.9583333333333 = x$ (or $x = 2.9583333333333$ )

So, if the dividend is 71 and the quotient is 24, the divisor is 2.9583333333333.