We know that smallest 2 digit number
is 10.
Smallest three digit number is 100.
Similarly smallest five digit number is
10000.
Here we use,
Division algorithm:
Dividend = divisor × quotient + remainder
Dividend = 10000
Divisor = 41
10000 = 41 × 243 + 37
To find required number we have
add number = divisor - remainder
= 41 - 37
= 4 to 10000
Therefore, Smallest 5 digit number exactly divisible by 41 is 10004.