Question 50: The 5 is the remainder when we divide 1001 by 6. This means we will have 166 complete chunks and then at the end of it we will need to move 5 places from the beginning of the repeating decimal form: 285714 to obtain the 1001st digit, which will be 1. I hope this makes sense.

Liz Kelly says

You don’t explain why, after 166 chunks, you end up having “to go 5 more places”. Why 5?

Dabral says

Hi Liz,

Question 50: The 5 is the remainder when we divide 1001 by 6. This means we will have 166 complete chunks and then at the end of it we will need to move 5 places from the beginning of the repeating decimal form: 285714 to obtain the 1001st digit, which will be 1. I hope this makes sense.