What is x when 71 divided by x equals 8?

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{71}{x}=8$

1. Multiply both sides by x: $\frac{71x}{x}=8x$
2. $\frac{71x}{x}$ is equivalent to $\frac{x}{x}\times 71$, which simplifies to $1\times 71$ (or just $71$).
3. Thus, the equation becomes: $71=8x$
4. To find x, divide both sides by 8: $\frac{71}{8}=\frac{8x}{8}$
5. Which gives, after simplification: $8.875=x$ (or $x=8.875$)

So, if the dividend is 71 and the quotient is 8, the divisor is 8.875.