What is x when 35 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 35 ÷ 8 = 4.375

To prove this, let's compute 35 divided by 4.375: $\frac{35}{4.375} = 8$

How does it work?

Asking what the value of x could be when 35 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{35}{x} = 8$

Multiply both sides by x: $\frac{35 x}{x} = 8 x$
$\frac{35 x}{x}$ is equivalent to $\frac{x}{x} \times 35$ , which simplifies to $1 \times 35$ (or just $35$ ).
Thus, the equation becomes: $35 = 8 x$
To find x, divide both sides by 8: $\frac{35}{8} = \frac{8 x}{8}$
Which gives, after simplification: $4.375 = x$ (or $x = 4.375$ )

So, if the dividend is 35 and the quotient is 8, the divisor is 4.375.