Rachel Uchitel Divorce RICH PEOPLE'S PROBLEMS!

Rachel Uchitel and hubby Matt Hahn decided to get divorced after an argument erupted over a bungled trip to the grocery store which then triggered allegations of kidnapping. We will explain.

Sources familiar with the situation tell TMZ ... the morning Rachel called the cops on Matt -- she woke up only to learn her hubby hadn't gone to the grocery store like he had promised. So Rachel had to schlep to the store with baby Wyatt and the family dog. And when she got back, all hell broke loose ... name-calling on Matt's part and a little slapping on Rachel's.

We're told Matt called her a "dictator" for ordering him to perform chores on her timeline. It escalated to the point Rachel called 911, pleading with cops to eject Matt from the house.

When the cops wouldn't give Rachel what she wanted, Tiger's ex executed Plan B. She took her 1-year-old daughter to their hoity-toity weekend home in Connecticut and stayed for 5 days. That set Matt off, alleging she kidnapped their kid.

Matt moved out of their NYC, $8,000-a-month rental, and Rachel returned with Wyatt.

As TMZ first reported ... Matt alleged "cruel and inhumane treatment" in filing for divorce, but now it looks like they're ending the marriage peacefully.

Like we said ... rich people's problems.

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Rachel Uchitel My Hubby Has DEFAMED ME!

Rachel Uchitel is fighting back at her husband Matt Hahn -- who claims he's the victim of "cruel and inhumane treatment" -- telling TMZ his allegation is a bold-faced lie and defamatory.

Uchitel's rep tells TMZ it was Rachel's desire to resolve the divorce privately, but Matt came out of the gate grandstanding for the media.

TMZ broke the story ... Rachel called the cops last month after the two got into a heated argument that ended with Matt calling her names and Rachel striking back with a few slaps. Matt has now filed for divorce and wants full custody of their 1-year-old daughter, as well as child and spousal support. He even wants her to pay his health and life insurance.

Uchitel's rep, Howard Bragman, tells TMZ, she will "vigorously defend herself against Matt Hahn's false and defamatory claim of 'cruel and inhumane treatment.'"

Sources connected with the case tell TMZ ... Uchitel will not ask Matt for any money. All she wants is primary custody.

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