We look at the division of 4739980 by 641 
We want to figure out the number of times 4739980 can be divided by 641.

Advancing to step 1:
The number 641 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 641

Going ahead to step 2:
When dividing 47 by 641, we get 0 with a remainder of 47.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Fetch the next digit (3) from the dividend, attach it to 47 and continue: 473 / 641

Step 3:
641 can be fit into 473 0 times, resulting in a remainder of 473.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 473 leaves us with 473.
Bring next digit (9) of the dividend behind the 473 and repeat the process: 4739 / 641

Let's proceed to step 4:
4739 divided by 641 is 7 with a remainder of 252.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 4487 from 4739 to get 252.
Include the next digit (9) from the dividend after 252, then repeat: 2529 / 641

On to step 5:
2529 divided by 641 is 3 with a remainder of 606.
Use 3 as the next digit of our solution. 
Result so far: 73.0
If we subtract 1923 from 2529, we get 606.
Include the next digit (8) from the dividend after 606, then repeat: 6068 / 641

Advancing to step 6:
641 can be fit into 6068 9 times, resulting in a remainder of 299.
Use 9 as the next digit of our solution. 
Result so far: 739.0
The remainder is 299 after subtracting 5769 from 6068.
Fetch the next digit (0) from the dividend, attach it to 299 and continue: 2990 / 641

Advancing to step 7:
2990 divided by 641 is 4 with a remainder of 426.
Put 4 as the next digit of the answer. 
Result so far: 7394.0
Subtract 2564 from 2990 to get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Advancing to step 8:
If we divide 4260 by 641, we get 6 and a remainder of 414.
Record the quotient 6 as the next digit in the result. 
Result so far: 7394.6
Deduct 3846 from 4260 and we're left with 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Moving on to step 9:
If we divide 4140 by 641, we get 6 and a remainder of 294.
The number 6 becomes the next digit in our result. 
Result so far: 7394.66
Subtracting 3846 from 4140 leaves us with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

In conclusion, the division gives 7394.66 with a balance of 0.294.