Just for a minuet, think of the division process in this way:

"Division is the number of times I have to take one number to get another". With me so far? Okay. Good.

Now lets look at the question again, which can be rewritten as this:

"How many times do i have to take the number 4, to get 2600?"

Lets think about this:

You know

4 * 1 = 4

4 * 6 = 24

4 * 50 = 200

4 * 100 = 400

4 * 600 = 4 * (6 * 100) = 4 * 6 * 100 = 24 * 100 = 2400

Oooh now we are getting close!

4 * (650) = 4 * (600 + 50) = 4 * 600 + 4* 50 = 2600

There we go! that is the answer! we need to multiply 4 with 650 to get 2600!

Another way of looking at it:

2600/4 = (4 * 650)/4 = 650!

Much simpler right?

So to solve these faster, practice your long divisions!

2600 and 4 have a common factor, 2. Dividing by 2:

2600/4 = 1300/2

1300 and 2 have a common factor, 2. Dividing by 2:

1300/2 = 650