Gavin Rossdale steps out just a day following news that he and Gwen Stefani are divorcing, after almost 13 years together. Rossdale appeared to be carrying on with life in Beverly Hills, California, on Monday as he went shopping together with his dog and a friend.

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Gwen Stefani, 45, and Gavin, 49, would have had their 13^th anniversary together next month, according to E! Online.

Gavin Rossdale steps out wearing a plain white shirt, sneakers and shades, looking happy and appearing relaxed.

The celebrity couple said in their joint statement: "While the two of us have come to the mutual decision that we will no longer be partners in marriage, we remain partners in parenthood and are committed to jointly raising our three sons in a happy and healthy environment."

Immediately, cheating rumors started circulating since Gavin Rossdale and Gwen Stefani's divorce announcement. TMZ reported that Gwen Stefani divorced Gavin due to a belief that he had been cheating on her. However, several news reports say that the split was "a long time coming."

While the two appeared to have lacked time for each other due to their busy schedules, in February, this didn't seem to bother Gwen. In an interview with Cosmopolitan magazine, she said that the success of their marriage was because they are their own people.

"It's good to have those days when we both do our own things. I think that's what keeps relationships going, when both people can be themselves and have their own individuality."

The couple met in 1995 when Bush and No Doubt toured together in 1995. They married in 2002. In an appearance on "The Ellen DeGeneres Show" November last year, Gwen Stefani admitted to the comedienne that she and Gavin had their ups and downs after being together for more than a decade.

Documents obtained by ET shows Gwen citing "irreconcilable differences" in her and Rossdale's divorce petition. Both are asking for joint custody of their three sons - Kingston, 9, Zuma, 6 and Apollo, 1, according to ET Online.

Even as Gavin Rossdale steps out amid his divorce with Gwen, with a look and aura of peace, many are still shell-shocked with the split. Neither Rossdale nor Stefani have spoken in public about the cheating rumors since their divorce announcement yesterday, reported The Inquisitr.

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