integer - Modulo in JavaScript - large number

Question

I try to calculate with JS' modulo function, but don't get the right result (which should be 1). Here is a hardcoded piece of code.

var checkSum = 210501700012345678131468;
alert(checkSum % 97);

Result: 66

Whats the problem here?

Regards, Benedikt

Answer 1

For an IBAN calculation form a normal bankaccount number I end up with a very large number contained in a string datatype. From this large number I have to find the rest when divided by 97 -> large number % 97.

As soon as I convert the datatype to an integer I get an overflow resulting in a negative integer and eventually a wrong rest value. As I saw some verbose pieces of code (which also gave wrong outcome), I could not resist to share my own. Credits go to Finding Modulus of a Very Large Number with a Normal Number

modulo: function(divident, divisor) {
    var partLength = 10;

    while (divident.length > partLength) {
        var part = divident.substring(0, partLength);
        divident = (part % divisor) +  divident.substring(partLength);          
    }

    return divident % divisor;
}

N.B. I use 10 positions here as this is smaller than the 15 (and some) positions of max integer in JavaScript, it results in a number bigger than 97 and it's a nice round number. The first two arguments matter.