The war with the Indian tribes on the peninsula of Florida has during the last summer and fall been prosecuted with untiring activity and zeal. A summer campaign was resolved upon as the best mode of bringing it to a close. Our brave officers and men who have been engaged in that service have suffered toils and privations and exhibited an energy which in any other war would have won for them unfading laurels. In despite of the sickness incident to the climate, they have penetrated the fastnesses of the Indians, broken up their encampments, and harassed them unceasingly. Numbers have been captured, and still greater numbers have surrendered and have been transported to join their brethren on the lands elsewhere allotted to them by the Government, and a strong hope is entertained that under the conduct of the gallant officer at the head of the troops in Florida that troublesome and expensive war is destined to a speedy termination. With all the other Indian tribes we are enjoying the blessings of peace. Our duty as well as our best interests prompts us to observe in all our intercourse with them fidelity in fulfilling our engagements, the practice of strict justice, as well as the constant exercise of acts of benevolence and kindness. These are the great instruments of civilization, and through the use of them alone can the untutored child of the forest be induced to listen to its teachings. The Secretary of State, on whom the acts of Congress have devolved the duty of directing the proceedings for the taking of the sixth census or enumeration of the inhabitants of the United States, will report to the two Houses the progress of that work. The enumeration of persons has been completed, and exhibits a grand total of 17,069,453, making an increase over the census of 1830 of 4,202,646 inhabitants, and showing a gain in a ratio exceeding 32 1/2 per cent for the last ten years. From the report of the Secretary of the Treasury you will be informed of the condition of the finances. The balance in the Treasury on the 1st of January last, as stated in the report of the Secretary of the Treasury submitted to Congress at the extra session, was $987,345.03. The receipts into the Treasury during the first three quarters of this year from all sources amount to $23,467,072.52; the estimated receipts for the fourth quarter amount to $6,943,095.25, amounting to $30,410,167.77, and making with the balance in the Treasury on the 1st of January last $31,397,512.80. The expenditures for the first three quarters of this year amount to $24,734,346.97. The expenditures for the fourth quarter as estimated will amount to $7,290,723.73, thus making a total of $32,025,070.70, and leaving a deficit to be provided for on the 1st of January next of about $627,557.90.