Your school creates student IDs by putting stick-on numbers from 0 to 9 onto a badge. Suppose you have to make $827$ tags with the first tag starting at $101$. For example, you would create the tag number 313 by using a 3 sticker, a 1 sticker and then another 3 sticker.

In creating all of the badges, determine the number of $7$ stickers you will use.

Hint: