We're dividing 4349384 by 559 
Let's see how many times 559 fits into 4349384.

Step 1:
559 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 559

Moving on to step 2:
559 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 559

Going ahead to step 3:
559 goes into 434 0 times with a remainder of 434.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 434 after subtracting 0 from 434.
Include the next digit (9) from the dividend after 434, then repeat: 4349 / 559

Moving on to step 4:
559 goes into 4349 7 times with a remainder of 436.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 3913 from 4349 and we're left with 436.
Fetch the next digit (3) from the dividend, attach it to 436 and continue: 4363 / 559

On to step 5:
The number 559 fits into 4363 7 times, leaving a remainder of 450.
Write down 7 as next digit of the result. 
Result so far: 77.0
If we subtract 3913 from 4363, we get 450.
Bring next digit (8) of the dividend behind the 450 and repeat the process: 4508 / 559

Step 6:
The number 559 fits into 4508 8 times, leaving a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 778.0
If we subtract 4472 from 4508, we get 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 559

On to step 7:
559 goes into 364 0 times with a remainder of 364.
Put 0 as the next digit of the answer. 
Result so far: 7780.0
The remainder is 364 after subtracting 0 from 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Advancing to step 8:
If we divide 3640 by 559, we get 6 and a remainder of 286.
Use 6 as the next digit of our solution. 
Result so far: 7780.6
If we subtract 3354 from 3640, we get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Step 9:
If we divide 2860 by 559, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 7780.65
The remainder is 65 after subtracting 2795 from 2860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 10:
559 can be fit into 650 1 times, resulting in a remainder of 91.
The next digit of our result is 1. 
Result so far: 7780.651
Deduct 559 from 650 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 11:
559 goes into 910 1 times with a remainder of 351.
Put 1 as the next digit of the answer. 
Result so far: 7780.6511
If we subtract 559 from 910, we get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

In conclusion, the division gives 7780.6511 with a balance of 0.00351.