What is x when 43 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 43 ÷ 4 = 10.75

To prove this, let's compute 43 divided by 10.75: $\frac{43}{10.75} = 4$

How does it work?

Asking what the value of x could be when 43 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{43}{x} = 4$

Multiply both sides by x: $\frac{43 x}{x} = 4 x$
$\frac{43 x}{x}$ is equivalent to $\frac{x}{x} \times 43$ , which simplifies to $1 \times 43$ (or just $43$ ).
Thus, the equation becomes: $43 = 4 x$
To find x, divide both sides by 4: $\frac{43}{4} = \frac{4 x}{4}$
Which gives, after simplification: $10.75 = x$ (or $x = 10.75$ )

So, if the dividend is 43 and the quotient is 4, the divisor is 10.75.