For each bank X (Glitnir, Kaupthing, Landsbanki), there government created their own new X. The following was by force brought into each new X:
* Regular loans
* Checking accounts
* Credit cards
* e.t.c.
This of course created a debt between the new X and the remains of each old X, which took some time to resolve.On the other hand, a lot of things were left in the falling banks, including international branches, investment accounts (i.e. accounts with interests related to stock performance) and more.
These selective operations of course caused a international controversy (Icesave dispute, e.t.c.), but if the government had let all the banks fail without these transfers - the damage to our economy would have been much greater.