// basic idea is how would you multiply two number on paper
// 6534584351565431546351314865641313541354
// X 5
// _________________________________________
// 32672921757827157731756574328206567706770
public static List<int> Function(string N, int n)
{
var num = N.ToCharArray().ToList()
.Select(s => Convert
.ToInt32(s.ToString()))
.ToList();
num.Reverse();
// initially remainder is 0
var remainder = 0;
for (int i = 0; i < num.Count; i++)
{
var temp = num[i] * n + remainder;
var inString = temp.ToString();
if (inString.Length > 1)
{
num[i] = Convert.ToInt32(inString[1].ToString());
remainder = Convert.ToInt32(inString[0].ToString());
}
else
{
num[i]= Convert.ToInt32(inString[0].ToString());
remainder = 0;
}
}
if(remainder!=0)
{
num.Add(remainder);
}
num.Reverse();
return num;
}