What is x when 46 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 46 ÷ 10 = 4.6

To prove this, let's compute 46 divided by 4.6: $\frac{46}{4.6} = 10$

How does it work?

Asking what the value of x could be when 46 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{46}{x} = 10$

Multiply both sides by x: $\frac{46 x}{x} = 10 x$
$\frac{46 x}{x}$ is equivalent to $\frac{x}{x} \times 46$ , which simplifies to $1 \times 46$ (or just $46$ ).
Thus, the equation becomes: $46 = 10 x$
To find x, divide both sides by 10: $\frac{46}{10} = \frac{10 x}{10}$
Which gives, after simplification: $4.6 = x$ (or $x = 4.6$ )

So, if the dividend is 46 and the quotient is 10, the divisor is 4.6.