Let's see what's really going on when we divide one number into another number.

We start with 6 triangles:

We want to see how many chunks of 3 we can make out of 6 things!

We can divide 6 things into 2 chunks of 3.

Now, let's see how many times 2 will go into 6.

Start with 6 squares:

We want to see how many chunks of 2 we can make out of 6 things!

We can divide 6 things into 3 chunks of 2.