Is there a way to kill Shinigamis with a death note?


I know that if you write the name of a shinigami in a notebook he won't die.
But let's say I would write something like this:

**7.11.2014.**

John Zeürtö gets scared to death.

At **11:30** , John Zeürtö enters a dark alley (name of the alley) with a
knife and threatens everyone who is there. Then he sees something not from
this world. He attempts to kill the monster, but is unsuccessful. He then sees
that the monster is coming closer to him and then he dies at **11:45**.

With this, the shinigami would technically kill a human without a death note.
And since shinigami die when they kill a human without a death note, this
could work. But I also have another example.

**8.11.2014.**

Bob Johnson dies of a neck fracture.

At **1:30 pm** Bob Johnson enters a mall (name of the mall). At **1:35** he
takes cocaine and destroys certain things in the mall. At **1:40** he notices
a little piece from a death note in the last regal from a TV store. Then he
sees something not from this world and shoots at the monster. After he
realizes that the monster is still alive he runs to a staircase to flee. But
the monster follows him and pushes him. He falls down the staircase and then
he breaks his neck.

Would that work?




**There is no way you can kill a Death God with the Death Note.**

In the first example, the human got scared of the Death God and died. The
Death God did not do anything. He just stood there and then the human died, so
why would he be held responsible for just being and not doing anything?

In the second example, you write that the Death God pushes him down the
stairs. This situation is impossible, therefore only the cause of death will
take effect (see rule LV below). The situation is impossible, because the
Death God will never kill a human being without the Death Note, because it
would result in their death.

>
> [LV](http://deathnote.wikia.com/wiki/Rules_of_the_Death_Note#How_to_Use:_LV):
> In the occasion where the cause of death is possible but the situation is
> not, only the cause of death will take effect for that victim. If both the
> cause and the situation are impossible, that victim will die of heart
> attack. )

