Dorit Kemsley broke bread with her estranged husband for the first time since she pulled the plug on their marriage ... and while the divorce is still moving forward, the chemistry clearly isn't dead.

TMZ obtained video of "The Real Housewives of Beverly Hills" star and PK out in Sherman Oaks in L.A. Tuesday night, sharing a quiet dinner at a Japanese restaurant. Witnesses tell us the two looked relaxed and in great spirits -- marking their first one-on-one outing since Dorit filed for divorce in April. Instagram / @doritkemsley

Sources close to the exes tell TMZ ... their split is making its slow crawl through the courts, but they still have plenty of love and passion for one another, thanks to their kids and commitment to coparenting.

When it comes to dating, we're told both ar

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