I am making an application of a map of my country; I live in Honduras, which is divided into departments, and each department into municipalities.
I have seen that with Google Maps the limits between each department are drawn, but it does not show in the department, it does not show its division into municipalities.
Here's an example of the result I want:
As you can see, everything in color are apartments; each distinct color with its name is a municipality.
Is it possible to do that division with Google Maps?
No, or very hardly.
You will need to have geometries for the regions (departments, municipalities) that you want to visualize. Although in GMaps you see the outline of the administrative divisions, that does not mean that you can access those geometries programmatically.
If you want to draw a political map, or a choropleth map , you will need data for the areas you want to draw. The question of "where can I find and download that data?" It does not have a simple answer, but you should investigate if the National Geographic Institute of Honduras can provide them to you. Otherwise, you can fall back on administrative boundary data from OpenStreetMap , e.g. eg in the MapZen excerpts .
Once you have the data, you just have to draw each area (polygon) with a different color. The Leaflet tutorial for choropleth maps should be able to help you.
Keep in mind that GMaps may not be the most suitable tool. Before "marrying" a platform, I suggest you investigate if QGis, gvSIG, Leaflet or OpenLayers can be more useful to you.