St. Paul, Mian., August 31.- A dispatch froni Bismarck, D. T., says oi' the results of Custer's expedition : The explorers are well satisfied with the prospect, and are ready to conduct an expedition into the new Eldorado as soon as the Indian titlo is extinguiahed, or as soon as satisfied that the Government will not interfere. The inipression prevails generally that it will be impossiblo to prevent parties from occupying the country, because they will soek to en tor it from every quarter, from the east, west, and south, as well as from Biamarck, the nearest railroad point to the mines, and from whence they can be reached to the best advantage. Hostile Indians never visit the Black Tlills, but cortfine their operations to the Buffalo región. The bilis are nover occupied by the friendly Sioux, and but occasionally have been visited by them. Tho result is satisfactory in every respect, except perhaps to luster, who did not have a chance to fire a shot at the hostile Indians. Twentysix dayB wore spent in the Black Hills, and nearly 300 miles of valleys wero traversed by the entire command. Gold in unlimited quantities was discovered at various points, and also silver and lead, jalena, plumbago, moun taina of iron and nexhaustible beds of gypsum. The earch for gold was nut exhaustive, as he halts wero brief, but at one point, in what will be hereafter known as Custer's 'ark, a shaft was sunk to the depth of ight feet, and from the grass roots down gold was found amounting to five cents per pan at the top, and increasing in atnount to twenty ceuts at the depth of eightfeet. The bed rock was not reaclied and yet shot gold was found. The running water región, reported by the Indians to be very rich, and the Big Hora region, knowu to abound in gold, wero not explored for lack of time. Guater gulch, where twenty boys took gold claims, declariug their intention to occupy them as soon as peaceable possession of the conntry can be obtained, is situated seven miles south of Harney's Peak, 550 milea trom Bisrnarck.