If the beets have leaves and stems, trim off the leaves and all but 1/4 inch of the stems. Wash the beets. In a large saucepan or stockpot fit with a steamer basket, steam the beets until a paring knife enters them easily, 30 to 45 minutes, depending on their size. Set aside until cool enough to handle but still warm. Peel the beets; the skin will rub right off. Trim and discard the tops and tails and cut the beets into thick wedges. Transfer the beets to a large serving bowl and drizzle with the olive oil and vinegar. Season with a generous pinch of salt and pepper. Sprinkle the goat cheese, oregano, and pecans over the beets and serve.