What is x when 71 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 71 ÷ 11 = 6.4545454545455

To prove this, let's compute 71 divided by 6.4545454545455: $\frac{71}{6.4545454545455} = 11$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{71}{x} = 11$

Multiply both sides by x: $\frac{71 x}{x} = 11 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 11 x$
To find x, divide both sides by 11: $\frac{71}{11} = \frac{11 x}{11}$
Which gives, after simplification: $6.4545454545455 = x$ (or $x = 6.4545454545455$ )

So, if the dividend is 71 and the quotient is 11, the divisor is 6.4545454545455.