How many natural numbers are there between 23 and 100, which are exactly divisible by 6?

Sure, here is the step by step solution:

Step 1: Find the first natural number greater than 23 that is divisible by 6. This is done by dividing 23 by 6 and rounding up to the nearest whole number, then multiplying by 6. The result is 24.

Step 2: Find the last natural number less than 100 that is divisible by 6. This is done by dividing 100 by 6 and rounding down to the nearest whole number, then multiplying by 6. The result is 96.

Step 3: Now, we need to find how many multiples of 6 are there between 24 and 96. This is done by subtracting the smaller number (24) from the larger number (96), dividing by 6, and then adding 1. The result is (96-24)/6 + 1 = 13.

So, there are 13 natural numbers between 23 and 100 that are exactly divisible by 6.