We look at the division of 6738 by 2 
We want to figure out the number of times 6738 can be divided by 2.

Advancing to step 1:
2 can be fit into 6 3 times, resulting in a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 6 from 6 leaves us with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Let's proceed to step 2:
If we divide 7 by 2, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtracting 6 from 7 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 2

Let's proceed to step 3:
2 can be fit into 13 6 times, resulting in a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 336.0
If we subtract 12 from 13, we get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 2

Step 4:
If we divide 18 by 2, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 3369.0
Deduct 18 from 18 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 5:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3369.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 6:
2 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3369.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 3369.0 with a remaining 0.0.