What is x when 10 divided by x equals 91?

To find the answer, just divide the dividend by the quotient: 10 ÷ 91 = 0.10989010989011

To prove this, let's compute 10 divided by 0.10989010989011: $\frac{10}{0.10989010989011} = 91$

How does it work?

Asking what the value of x could be when 10 divided by x gives a result of 91, is equivalent to solving the following equation:

$\frac{10}{x} = 91$

Multiply both sides by x: $\frac{10 x}{x} = 91 x$
$\frac{10 x}{x}$ is equivalent to $\frac{x}{x} \times 10$ , which simplifies to $1 \times 10$ (or just $10$ ).
Thus, the equation becomes: $10 = 91 x$
To find x, divide both sides by 91: $\frac{10}{91} = \frac{91 x}{91}$
Which gives, after simplification: $0.10989010989011 = x$ (or $x = 0.10989010989011$ )

So, if the dividend is 10 and the quotient is 91, the divisor is 0.10989010989011.