  We consider the evolution of black hole involving an $f(R)$ global monopole
based on the Extended Uncertainty Principle (EUP). The black hole evolutions
refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation
or fragmentation. It is found that the EUP corrections make the entropy
difference larger to encourage the black hole to radiate more greatly. We also
show that the appearance of the EUP effects result in the black hole's
division. The influence from global monopole and the revision of general
relativity can also adjust the black hole evolution simultaneously, but can not
change the final result that the black hole will not be stable because of the
EUP's effects.
