The division of Major Graham not having returned from the field until within a few days, neither the reduction of the astronomical observations nor any of the office work preparatory to a general map has yet been commenced by his division. The office work of the divisions of A. Talcott and J. Renwick has been steadily carried on since the return of those commissioners from the field in the month of October, and great progress has been made in the calculations and plotting preparatory to the construction of maps, and necessary as materials for a general report. In this state of the work of the several divisions the undersigned find themselves under the necessity of communicating to the State Department that the further progress of their operations is about to be arrested by the exhaustion of the appropriation, and of stating that unless speedy provision be made for the supply of the necessary funds the report of their operations can not be made up in time to be laid before Congress at its present session. The position of the finances of the commission may be seen by the following statement: Of the appropriation of $75,000 there have been drawn-- By J. Renwick $21,000 By A. Talcott 24,200 By J.D. Graham 25,000 Total drawn 70,200 Leaving in the Treasury of the United States $4,800. By a careful estimate it is found that to finish the office work of the several divisions there will be required over and above any balances in the hands of the several commissioners-- For the division of J. Renwick $3,000 For the division of A. Talcott 5,800 For the division of J.D. Graham, including some arrearages due for instruments and to assistant engineers attached to this division 6,500 Making in all $15,300, and leaving to be provided for the completion of the work of the late season $10,500. The undersigned can not refrain from stating that the necessity of applying for further funds was unexpected by each of them individually, as it is painful to them collectively. There are, however, reasons that in their opinion are incontrovertible which have led to an expenditure thus exceeding their estimate submitted to the Secretary of State the 11th of January, 1841: