After some searches, discussion on forums and answers posted here, I came up with the following conclusion, which is based on the content of the manga up to chapter 692 and contains spoiler.
Let's start with the term Jinchūriki. The term Jinchūriki (人柱力 (Hitobashira-ryoku); Literally meaning "Power of Human Sacrifice") implies that human is sacrificed when Biju is implanted or sealed inside. In other words, when a human become Jinchūriki, their body is sacrificed for Biju.
Biju, also known as Chakra Monsters, is a living form of chakra. That huge amount of chakra is sealed, but can be used with high level of training like how Killer B (Hachibi) does. Biju acts as a part of the body or the body's chakra and when all chakra is lost the person die, so healing and restoring chakra should keep Jinchūriki alive. However, the case is different when Biju is extracted: the essential part to live, the life force, is also lost. To add to the argument, this question describes that life force is essential to be alive and why Juubi's Jinchūriki does not die after extraction of Biju. Resurrection of Gaara after extraction of Shukaku by Chiyo using the "One's own life reincarnation" jutsu shows that the life force is essential to keep alive.
Even Hagoromo said," Madara was once a Jinchūriki. So now that he no longer has a Biju in him, there is no saving him".
Death of Jinchūriki after extraction of Biju is inevitable, unless there is way to provide life force as mentioned above or other ways. If there was any safe Biju extraction method, then why elite shinobi from different village, Uzumaki clan, Third Hokage who knew almost all jutsu of Konoha, did not know such type of jutsu or tried to invent it? There are lots of forbidden Jutsu which are powerful and extraordinary. How can be this possible that no one was able invent it? Uzumaki clan also die, but they resist and can live longer than other Jinchūriki .
Naruto was at the stage of death and was saved after putting Kyuubi. Otherwise, death of Naruto was inevitable.