What is x when 71 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 71 ÷ 27 = 2.6296296296296

To prove this, let's compute 71 divided by 2.6296296296296: $\frac{71}{2.6296296296296} = 27$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{71}{x} = 27$

Multiply both sides by x: $\frac{71 x}{x} = 27 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 27 x$
To find x, divide both sides by 27: $\frac{71}{27} = \frac{27 x}{27}$
Which gives, after simplification: $2.6296296296296 = x$ (or $x = 2.6296296296296$ )

So, if the dividend is 71 and the quotient is 27, the divisor is 2.6296296296296.