Answer
The exact answer is 115.2 (not 11.52).
Work Step by Step
We need to check whether the answer given is reasonable:
$345.6\div 3=11.52$
First, we estimate the answer by rounding:
$345.6\div 3\approx 300\div 3=100$
Since 11.52 and 100 are not very close, the given answer is not reasonable. We find the exact answer by dividing:
$~~~115.2$
$3\overline{)345.6}$
$~~~\underline{3}$
$~~~~~~4$
$~~~~~~\underline{3}$
$~~~~~~~15$
$~~~~~~~\underline{15}$
$~~~~~~~~~~~6$
$~~~~~~~~~~~\underline{6}$
$~~~~~~~~~~~~0$
We see that the exact answer is 115.2 (not 11.52).