Oksana Grigorieva Files For Bankruptcy -- I've Got $10 To My Name!

Oksana Grigorieva -- who got hundreds of thousands of dollars from Mel Gibson after a nuclear child custody war -- has filed for bankruptcy ... TMZ has learned.

In new legal docs -- obtained by TMZ -- Oksana says things are so bad she only has $10 in cash to her name.

Oksana says the math tells the story -- $48,000 in assets, $438,000 in debts.

As for Oksana's expenses ... she spends $90 a month on "Gofer Patrol." BTW ... her home security is less ... $80 a month.

Oksana -- who is a singer -- claims in the last 6 months she's only received $200 in royalties.

She also lists works of art she painted at $500.

Now get this ... Most of the debts are from legal bills. Oksana owes 5 lawyers a quarter-of-a-million bucks.

Remember ... during the custody fight ... Oksana hired and fired more than 40 lawyers.

Mel agreed to pay Oksana a $750K settlement in installments -- the last being due in 2016. As you remember, Mel pled no contest to assaulting Oksana ... knocking out a few veneers.

According to the court docs, Mel pays her $20,000 a month in child support for Lucia, and actor Timothy Dalton pays her $2,500 a month for their son, Alexander.