What is x when 63 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 63 ÷ 7 = 9

To prove this, let's compute 63 divided by 9: $\frac{63}{9} = 7$

How does it work?

Asking what the value of x could be when 63 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{63}{x} = 7$

Multiply both sides by x: $\frac{63 x}{x} = 7 x$
$\frac{63 x}{x}$ is equivalent to $\frac{x}{x} \times 63$ , which simplifies to $1 \times 63$ (or just $63$ ).
Thus, the equation becomes: $63 = 7 x$
To find x, divide both sides by 7: $\frac{63}{7} = \frac{7 x}{7}$
Which gives, after simplification: $9 = x$ (or $x = 9$ )

So, if the dividend is 63 and the quotient is 7, the divisor is 9.