<u><em>Explanation</em></u><span><u><em>: </em></u> When we divide by 41, we are seeing how many times 41 will go into that number. If we had a remainder of 41 or larger, that means 41 would go into it again, which would change our answer. This means that 40 is the largest remainder we could possibly have.</span></span>
The quotient remainder theorem: Given any integer A, and a positive integer B, there exist unique integers Q and R such that
A= B · Q + R where 0 ≤ R < B.
Q is called quotient and R is called remainder.
According to this theorem, when you divide any number by 41, you can obtain remainder R such that 0 ≤ R < 41. Then the greatest possible whole number remainder is 40.