Declining balance financial calculation with no remainder

1. A computer system comprising a processor, a memory and an input output device wherein the memory stores computer executable instructions and the processor is adapted to execute computer executable instructions for dividing an amount, the computer executable instructions comprising:

identifying a plurality of partial balances, a sum of the plurality of partial balances equals a total balance;

setting a variable n equal to a quantity of the plurality of partial balances;

setting a temporary partial balance equal to a first partial balance in the plurality of partial balances;

setting a temporary total balance equal to the total balance;

setting a temporary amount equal to the amount;

(a) determining a ratio by dividing the partial balance by the temporary total balance;

(b) determining an allocation by multiplying the ratio and the temporary amount;

(c) adjusting the allocation to a desired number of decimal places;

(d) storing the adjusted allocation in the memory;

(e) upon performing operations (a)-(d), decrementing the variable n by one, setting the temporary partial balance equal to another partial balance in the plurality of partial balances, updating the temporary total balance by subtracting the first partial balance from the temporary total balance, and updating the temporary amount by subtracting the adjusted allocation from the temporary amount; and

repeating operations (a)-(e) until the variable n is less than one, wherein dividing the amount into portions relative to each of the plurality of partial balances results in the portions not summing to the amount, and wherein summing the adjusted allocations determined in operation (c) after repeating operations (a)-(e) until the variable n is less than one results in the amount.

2. The computer system of claim 1 , wherein adjusting the allocation to the desired number of decimal places further comprises one of the group comprising rounding the allocation or truncating the allocation.

3. The computer system of claim 1 , wherein repeating the operations (a)-(e) until the variable n is less than one further comprises repeating the operations (a)-(e) until the temporary amount is zero after subtracting the adjusted allocation from the temporary amount.

4. The computer system of claim 1 , further comprising calculating a sum of all the distinct stored adjusted allocations and determining whether the sum of the stored adjusted allocations equals the amount.

5. A computer-implemented method for dividing an amount, the method comprising computer-implemented operations for:

identifying, by a computer having a processor and a memory, a plurality of partial balances, a sum of the plurality of partial balances equals a total balance;

setting, by the computer, a variable n equal to a quantity of the plurality of partial balances;

setting, by the computer, a temporary partial balance equal to a first partial balance in the plurality of partial balances;

setting, by the computer, a temporary total balance equal to the total balance;

setting, by the computer, a temporary amount equal to the amount;

(a) determining, by the computer, a ratio by dividing the partial balance by the temporary total balance;

(b) determining, by the computer, an allocation by multiplying the ratio and the temporary amount;

(c) adjusting, by the computer, the allocation to a desired number of decimal places by rounding or truncating the allocation at the desired number of decimal places;

(d) storing, by the computer, the adjusted allocation in the memory;

(e) upon performing operations (a)-(d), decrementing, by the computer, the variable n by one, setting, by the computer, the temporary partial balance equal to another partial balance in the plurality of partial balances, updating, by the computer, the temporary total balance by subtracting the first partial balance from the temporary total balance, and updating, by the computer, the temporary amount by subtracting adjusted allocation from the temporary amount; and

repeating operations (a)-(e) until the variable n is less than one, wherein dividing the amount into portions relative to each of the plurality of partial balances results in the portions not summing to the amount, and wherein summing the adjusted allocations determined in operation (c) after repeating operations (a)-(e) until the variable n is less than one results in the amount.

6. The computer-implemented method of claim 5 , wherein the plurality of partial balances comprises individual purchase amounts; and wherein the amount comprises a tax on the total balance.