What is x when 6 divided by x equals 2?

To find the answer, just divide the dividend by the quotient: 6 ÷ 2 = 3

To prove this, let's compute 6 divided by 3: $\frac{6}{3} = 2$

How does it work?

Asking what the value of x could be when 6 divided by x gives a result of 2, is equivalent to solving the following equation:

$\frac{6}{x} = 2$

Multiply both sides by x: $\frac{6 x}{x} = 2 x$
$\frac{6 x}{x}$ is equivalent to $\frac{x}{x} \times 6$ , which simplifies to $1 \times 6$ (or just $6$ ).
Thus, the equation becomes: $6 = 2 x$
To find x, divide both sides by 2: $\frac{6}{2} = \frac{2 x}{2}$
Which gives, after simplification: $3 = x$ (or $x = 3$ )

So, if the dividend is 6 and the quotient is 2, the divisor is 3.