What is x when 35 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 35 ÷ 10 = 3.5

To prove this, let's compute 35 divided by 3.5: $\frac{35}{3.5} = 10$

How does it work?

Asking what the value of x could be when 35 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{35}{x} = 10$

Multiply both sides by x: $\frac{35 x}{x} = 10 x$
$\frac{35 x}{x}$ is equivalent to $\frac{x}{x} \times 35$ , which simplifies to $1 \times 35$ (or just $35$ ).
Thus, the equation becomes: $35 = 10 x$
To find x, divide both sides by 10: $\frac{35}{10} = \frac{10 x}{10}$
Which gives, after simplification: $3.5 = x$ (or $x = 3.5$ )

So, if the dividend is 35 and the quotient is 10, the divisor is 3.5.