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Tax Clarification on Russian Multiplication

In a previous post on the letter of the NIF slipped a small error. What you need to search the table of the letters is the remainder after dividing your identity card number by 23.
The main sticking with that found many people is that calculators are not normally an operation that returns the remainder of a division, decimals calculator out directly.
Windows Calculator, as science (Click on View / Science), can get us out of trouble with the MOD key:
Write the DNI

MOD press the key type 23
4. We click on the = key (or press the Enter key on your keyboard).

Failure to hand calculator windows desktop but a stream is a bit more complicated but can also be done:

1. divide the number of ID card of 23.
2. The result we subtract the part that is left of the comma, ie: the number without decimals. It should be something like 0 ,....
3. Multiply that result by 23. That number is the remainder.

Anyway I do not understand the usefulness of a letter that anyone with a pocket calculator is able to calculate in seconds. What makes a safety extra point is calculated directly from the number?

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Yes, this is the Russians lately. The following is the method used by the Russian peasants to multiply numbers of any size without needing to know more than the multiplication table for two and half how to calculate a number.
Let's try to multiply 25 by 34.
wrote in a column 25 and 34 in another way: divide the number on the left by 2 (if we leave decimals, ignore them altogether), and multiply by 2 on the right:
repeat the process until the column left will be a 1: Now mark all the numbers that are left and the corresponding pairs in the column on the right:
Finally add all the numbers in the column to the right that are not crossed out:
The result of multiplying 25 by 34 is actually 850.
The method is valid for any two numbers multiply no matter how many numbers they have.