Check your battery with a good digital voltmeter in the morning before starting. Fully charged, it should read 12.6 - 12.7 Volts. If it is reading around 11.9 - 12.1 Volts, it is almost fully discharged.

Now, if it reads fully charged, and then dies after 5 cranks, I would suspect shorted windings in your starter.

Steve

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'91 MB 190E 2.3
'08 RAV4 Ltd 3.5
'83 Lazy Daze m'home 5.7