Explanation

We know, the least number of 6 digits is ‘100000’.
If we divide ‘100000’ by ‘87’, we get:
\rightarrow 1149 as a quotient and 37 as a remainder.
Now, if we subtract the remainder (37) from the divisor (87) then we get:
\rightarrow\left(87-37\right)
\rightarrow 50
Now, if we add ‘50’ to the 6 digits least number (100000) then we get:
\rightarrow\left(100000+50\right)
\rightarrow 100050
\therefore 100050 is the 6 digits least number which is exactly divisible by 87.
Ans: The 6 digits least number is 100050 which is exactly divisible by 87.

Another way

If we divide ‘100000’ by ‘87’, we get:
\rightarrow 1149 as a quotient and 37 as a remainder.
From this we understand that:
\rightarrow87\times1149=99963
And the number right after that:
\rightarrow87\times1150=100050
\therefore 100050 is the 6 digits least number which is exactly divisible by 87.
Ans: The 6 digits least number is 100050 which is exactly divisible by 87.

These precise math questions can also be expressed as:

1. Finding the smallest 6 digit number divisible by 87.
2. What is the smallest 6 digit number that can be divided by 87 without a remainder?
3. How to find the smallest 6 digit number that is a multiple of 87?