What is x when 10 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 10 ÷ 5 = 2

To prove this, let's compute 10 divided by 2: $\frac{10}{2} = 5$

How does it work?

Asking what the value of x could be when 10 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{10}{x} = 5$

Multiply both sides by x: $\frac{10 x}{x} = 5 x$
$\frac{10 x}{x}$ is equivalent to $\frac{x}{x} \times 10$ , which simplifies to $1 \times 10$ (or just $10$ ).
Thus, the equation becomes: $10 = 5 x$
To find x, divide both sides by 5: $\frac{10}{5} = \frac{5 x}{5}$
Which gives, after simplification: $2 = x$ (or $x = 2$ )

So, if the dividend is 10 and the quotient is 5, the divisor is 2.