We look at the division of 6278600 by 738 
Our goal is to divide 6278600 by 738.

On to step 1:
6 divided by 738 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 738

Advancing to step 2:
The number 738 fits into 62 0 times, leaving a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Bring next digit (7) of the dividend behind the 62 and repeat the process: 627 / 738

Going ahead to step 3:
If we divide 627 by 738, we get 0 and a remainder of 627.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 627, we end up with 627.
Fetch the next digit (8) from the dividend, attach it to 627 and continue: 6278 / 738

Step 4:
If we divide 6278 by 738, we get 8 and a remainder of 374.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 5904 away from 6278, we end up with 374.
Take the next digit (6) from the dividend and append it to 374, then repeat: 3746 / 738

On to step 5:
If we divide 3746 by 738, we get 5 and a remainder of 56.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtracting 3690 from 3746 leaves us with 56.
Append the next digit (0) from the dividend to 56 and continue with: 560 / 738

Let's proceed to step 6:
560 divided by 738 is 0 with a remainder of 560.
Use 0 as the next digit of our solution. 
Result so far: 850.0
Subtracting 0 from 560 leaves us with 560.
Include the next digit (0) from the dividend after 560, then repeat: 5600 / 738

Moving on to step 7:
5600 divided by 738 is 7 with a remainder of 434.
Write down 7 as next digit of the result. 
Result so far: 8507.0
The remainder is 434 after subtracting 5166 from 5600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Step 8:
4340 divided by 738 is 5 with a remainder of 650.
The next digit of our result is 5. 
Result so far: 8507.5
The remainder is 650 after subtracting 3690 from 4340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Let's proceed to step 9:
6500 divided by 738 is 8 with a remainder of 596.
The next digit of our result is 8. 
Result so far: 8507.58
The remainder is 596 after subtracting 5904 from 6500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5960, and continue the process.

Step 10:
738 can be fit into 5960 8 times, resulting in a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 8507.588
Subtract 5904 from 5960 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 8507.588 with a balance of 0.0056.