Splitting something into equal parts kind of depends on what you mean.
Does the orientation of the pieces matter?
What about the shape?
I did a quick set-up that uses the grid tool to (approximately) split the shape into sections, but you end up with this stripey effect.
I did this by taking the area of the whole shape, then splitting the shape to 10cm grid.
I then worked out what a tenth of the total area was and added up the grid squares until I got to that value.
You can then summarise the grids back together to get the overall shape.
The results you get depend on the size of the grid - here's a 1m grid
I've attached a (very) crude routine for you to look at.