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.