4688629 ÷ 919 
We want to divide 4688629 by 919.

Moving on to step 1:
919 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 919

Step 2:
919 can be fit into 46 0 times, resulting in a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Bring next digit (8) of the dividend behind the 46 and repeat the process: 468 / 919

Let's proceed to step 3:
468 divided by 919 is 0 with a remainder of 468.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 468 after subtracting 0 from 468.
Append the next digit (8) from the dividend to 468 and continue with: 4688 / 919

Going ahead to step 4:
919 can be fit into 4688 5 times, resulting in a remainder of 93.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 4595 away from 4688, we end up with 93.
Take the next digit (6) from the dividend and append it to 93, then repeat: 936 / 919

Going ahead to step 5:
The number 919 fits into 936 1 times, leaving a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 919 from 936 to get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 919

Going ahead to step 6:
919 can be fit into 172 0 times, resulting in a remainder of 172.
Use 0 as the next digit of our solution. 
Result so far: 510.0
If we take 0 away from 172, we end up with 172.
Include the next digit (9) from the dividend after 172, then repeat: 1729 / 919

On to step 7:
919 goes into 1729 1 times with a remainder of 810.
Use 1 as the next digit of our solution. 
Result so far: 5101.0
Subtracting 919 from 1729 leaves us with 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

Going ahead to step 8:
The number 919 fits into 8100 8 times, leaving a remainder of 748.
Record the quotient 8 as the next digit in the result. 
Result so far: 5101.8
If we take 7352 away from 8100, we end up with 748.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7480, and continue the process.

Moving on to step 9:
When dividing 7480 by 919, we get 8 with a remainder of 128.
Record the quotient 8 as the next digit in the result. 
Result so far: 5101.88
Subtracting 7352 from 7480 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

In conclusion, the division gives 5101.88 with a balance of 0.128.