A method for capturing carbon dioxide is provided. In a first absorption process, carbon dioxide is absorbed by contacting a supplied carbon dioxide-containing natural gas with a first substream of a solvent. In this process a carbon dioxide-depleted natural gas and carbon dioxide-enriched solvent are formed. Then in a combustion process, the carbon dioxide-depleted natural gas is burnt, with a carbon dioxide-containing exhaust gas being formed. Then, in a second absorption process, carbon dioxide is absorbed by contacting the carbon dioxide-containing exhaust gas with a second substream of the solvent. In this process an exhaust gas freed from carbon dioxide and carbon dioxide-enriched solvent are formed. Then, in a desorption process, the first substream and the second substream of the carbon dioxide-enriched solvent are combined and carbon dioxide is desorbed by supplying heating energy, with carbon dioxide-depleted solvent being formed.