What is x when 10 divided by x equals 3?

To find the answer, just divide the dividend by the quotient: 10 ÷ 3 = 3.3333333333333

To prove this, let's compute 10 divided by 3.3333333333333: $\frac{10}{3.3333333333333} = 3$

How does it work?

Asking what the value of x could be when 10 divided by x gives a result of 3, is equivalent to solving the following equation:

$\frac{10}{x} = 3$

Multiply both sides by x: $\frac{10 x}{x} = 3 x$
$\frac{10 x}{x}$ is equivalent to $\frac{x}{x} \times 10$ , which simplifies to $1 \times 10$ (or just $10$ ).
Thus, the equation becomes: $10 = 3 x$
To find x, divide both sides by 3: $\frac{10}{3} = \frac{3 x}{3}$
Which gives, after simplification: $3.3333333333333 = x$ (or $x = 3.3333333333333$ )

So, if the dividend is 10 and the quotient is 3, the divisor is 3.3333333333333.