>> Paul Gauguin showed paintings in Impressionist exhibitions held in 1881 and 1882

In 1873, around the same time as he became a stockbroker, Gauguin began painting in his free time. His Parisian life centred on the 9th arrondissement of Paris. Gauguin lived at 15, rue la Bruyère. Nearby were the cafés frequented by the Impressionists. Gauguin also visited galleries frequently and purchased work by emerging artists. He formed a friendship with Camille Pissarro and visited him on Sundays to paint in his garden. Pissarro introduced him to various other artists. In 1877 Gauguin "moved downmarket and across the river to the poorer, newer, urban sprawls" of Vaugirard. Here, on the third floor at 8 rue Carcel, he had the first home in which he had a studio. 

Gauguin, c. 1891

His close friend Émile Schuffenecker, a former stockbroker who also aspired to become an artist, lived close by. Gauguin showed paintings in Impressionist exhibitions held in 1881 and 1882 – (earlier a sculpture, of his son Émile, had been the only sculpture in the 4th Impressionist Exhibition of 1879.) His paintings received dismissive reviews, although several of them, such as The Market Gardens of Vaugirard, are now highly regarded. 

In 1882, the stock market crashed and the art market contracted. Paul Durand-Ruel, the Impressionists' primary art dealer, was especially affected by the crash and for a period of time stopped buying pictures from painters such as Gauguin. Gauguin's earnings contracted sharply and over the next two years he slowly formulated his plans to become a full-time artist. The following two summers, he painted with Pissarro and occasionally Paul Cézanne. In October 1883, he wrote to Pissarro saying that he had decided to make his living from painting at all cost and asked for his help, which Pissarro at first readily provided. 

Woman Sewing, 1880, Ny Carlsberg Glyptotek

The following January, Gauguin moved with his family to Rouen, where they could live more cheaply and where he thought he had discerned opportunities when visiting Pissarro there the previous summer. However, the venture proved unsuccessful, and by the end of the year Mette returned to Copenhagen, Gauguin following shortly after in November 1884, bringing with him his art collection, which subsequently remained in Copenhagen. 

Life in Copenhagen proved equally difficult and their marriage grew strained. At Mette's urging, supported by her family, Gauguin returned to Paris the following year. 
(source)