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For example, look at the sequence of letters
thursdaythursdaythursdaythursdaythursdaythursday
8 16 24 32 40 48
Notice that every time the letter "y" appears, you see that it is in a position divisible by 8. This is because there are 8 letters in the word "thursday."
It's basically saying the same thing as labeling each number in the set \[\{1,2,3,4,5,6,7,8,9,...,997,998,999,1000\}\]With a letter. You start with the pattern "thursday" and every 8 letters, you repeat that pattern.
This means that since your word is 8 letters long, every eighth letter will be "y" starting with the number 8.
What you want to do, is find the remainder, and not the quotient. So you have \[{1000}=8\cdot125+0\]So your quotient is 125, and your remainder is 0. Somewhat unintuitively, this means that the 8th letter in "thursday" will be the 1000th letter overall.