How many numbers between 100 to 500 are divisible by 6?

There are 67 numbers between 100 and 500 divisible by 6.

The first number greater than 100 divisible by 6:

100 ÷ 6 = 16 r 4 → first number divisible by 6 is 6 × 17 = 102

Last number less than 500 divisible by 6:

500 ÷ 6 = 83 r 2 → last number divisible by 6 is 6 × 83 = 498

→ all multiples of 6 between 17 × 6 and 83 × 6 inclusive are the numbers between 100 and 500 that are divisible by 6.

→ there are 83 - 17 + 1 = 67 such numbers.