Explanation

There are 14 numbers between 1 and 100 that are divisible by 7.

Numbers between 1 and 100 divisible by 7:

7×1=7

7×2=14

7×3=21

7×4=28

7×5=35

7×6=42

7×7=49

7×8=56

7×9=63

7×10=70

7×11=77

7×12=84

7×13=91

7×14=98