What is x when 71 divided by x equals 91?

To find the answer, just divide the dividend by the quotient: 71 ÷ 91 = 0.78021978021978

To prove this, let's compute 71 divided by 0.78021978021978: $\frac{71}{0.78021978021978} = 91$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 91, is equivalent to solving the following equation:

$\frac{71}{x} = 91$

Multiply both sides by x: $\frac{71 x}{x} = 91 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 91 x$
To find x, divide both sides by 91: $\frac{71}{91} = \frac{91 x}{91}$
Which gives, after simplification: $0.78021978021978 = x$ (or $x = 0.78021978021978$ )

So, if the dividend is 71 and the quotient is 91, the divisor is 0.78021978021978.