We're dividing 559376 by 35 
Our goal is to divide 559376 by 35.

Moving on to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 35

Let's proceed to step 2:
If we divide 55 by 35, we get 1 and a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 35 from 55 leaves us with 20.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 35

On to step 3:
35 can be fit into 209 5 times, resulting in a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 175 from 209 leaves us with 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 35

Moving on to step 4:
343 divided by 35 is 9 with a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
Deduct 315 from 343 and we're left with 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 35

Step 5:
287 divided by 35 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 1598.0
The remainder is 7 after subtracting 280 from 287.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 35

On to step 6:
35 goes into 76 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 15982.0
Deduct 70 from 76 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
35 goes into 60 1 times with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 15982.1
Subtract 35 from 60 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 15982.17
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
50 divided by 35 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 15982.171
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 15982.1714
If we take 140 away from 150, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 15982.17142
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
35 goes into 300 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 15982.171428
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
If we divide 200 by 35, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 15982.1714285
If we take 175 away from 200, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
If we divide 250 by 35, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 15982.17142857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 15982.17142857 with a balance of 5e-09.