6338627 divided by 748 
We're looking to find how many times 748 goes into 6338627.

Moving on to step 1:
748 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 748

Moving on to step 2:
When dividing 63 by 748, we get 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 748

Step 3:
748 goes into 633 0 times with a remainder of 633.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 633, we end up with 633.
Bring next digit (8) of the dividend behind the 633 and repeat the process: 6338 / 748

Going ahead to step 4:
If we divide 6338 by 748, we get 8 and a remainder of 354.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 354 after subtracting 5984 from 6338.
Include the next digit (6) from the dividend after 354, then repeat: 3546 / 748

Let's proceed to step 5:
748 can be fit into 3546 4 times, resulting in a remainder of 554.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we take 2992 away from 3546, we end up with 554.
Grab the next digit (2) from the dividend, add it to 554, then carry on: 5542 / 748

Step 6:
748 can be fit into 5542 7 times, resulting in a remainder of 306.
Write down 7 as next digit of the result. 
Result so far: 847.0
If we subtract 5236 from 5542, we get 306.
Fetch the next digit (7) from the dividend, attach it to 306 and continue: 3067 / 748

On to step 7:
When dividing 3067 by 748, we get 4 with a remainder of 75.
Use 4 as the next digit of our solution. 
Result so far: 8474.0
If we subtract 2992 from 3067, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 8:
748 can be fit into 750 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 8474.1
If we subtract 748 from 750, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
The number 748 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8474.1
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
748 goes into 200 0 times with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 8474.1
Deduct 0 from 200 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 8474.1 with a balance of 0.02.