I want this layer...
to have the same division/cut/split like this..
I tried the Split Features tool but this software (qgis 2.16.0) would hang then eventually force close.
Any method/tool that you can suggest?
Assuming screenshot one is a vector, try using Union. Tool description below.
Union - This algorithm creates a layer containing all the features from both input layers. In the case of polygon layers, separate features are created for overlapping and non-overlapping features. The attribute table of the union layer contains attribute values from the respective input layer for non-overlapping features, and attribute values from both input layers for overlapping features.