That’s going to be tough with such a dense model. I would try to get a lower poly version if at all possible.
There are a couple ways I can think of to do this.
1. Laborious but better result:
* scale the model so that, from a top or front view, the workplane grid fits the division you’re looking for (or alternatively, create a grid of splines);
* in poly mode, start the knife tool in line mode;
* turn on grid or spline snapping;
* make sure restrict to selection and visible only are unchecked in the knife properties;
* use snapping to cut the grid edges into your model;
* go into edge mode and select the path selection tool;
* use the tool’s simple edge loop mode to select the far-right vertical and top horizontal edge loop (shift select);
* use Selection>Fill Selection to select the polygons in the top-right quadrant;
* use Function>Split to separate those polygons into a new object (and delete them from the original object);
* use Bridge and “close polygon hole” to build the interior faces;
* repeat for whole object….
2. Less laborious but less ideal, and maybe impossible with your present poly count:
* Create a plane primitive where the edges represent the grid pattern of your choosing;
* make the plane editable and select all polygons;
* run the extrude inner command with groups unchecked and a small offset (like .1);
* hit the delete key to remove all of the interior polygons;
* that should leave you with a planar grid pattern;
* select all those polys and extrude them deep enough so they can pass through both sides of your logo (caps option turned on);
* now use a boolean object to boolean subtract that grid from your logo object;
* make the boolean editable and use functions optimize to weld points where possible, and functions>explode segments to break the resulting object up into fragments.