What is x when 91 divided by x equals 35?

To find the answer, just divide the dividend by the quotient: 91 ÷ 35 = 2.6

To prove this, let's compute 91 divided by 2.6: $\frac{91}{2.6} = 35$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 35, is equivalent to solving the following equation:

$\frac{91}{x} = 35$

Multiply both sides by x: $\frac{91 x}{x} = 35 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 35 x$
To find x, divide both sides by 35: $\frac{91}{35} = \frac{35 x}{35}$
Which gives, after simplification: $2.6 = x$ (or $x = 2.6$ )

So, if the dividend is 91 and the quotient is 35, the divisor is 2.6.