We're dividing 519581 by 35 
We're looking to find how many times 35 goes into 519581.

Step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 35

Step 2:
51 divided by 35 is 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 16 after subtracting 35 from 51.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 35

On to step 3:
169 divided by 35 is 4 with a remainder of 29.
The next digit of our result is 4. 
Result so far: 14.0
If we take 140 away from 169, we end up with 29.
Include the next digit (5) from the dividend after 29, then repeat: 295 / 35

Advancing to step 4:
When dividing 295 by 35, we get 8 with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 148.0
The remainder is 15 after subtracting 280 from 295.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 35

Moving on to step 5:
When dividing 158 by 35, we get 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 1484.0
The remainder is 18 after subtracting 140 from 158.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 35

Going ahead to step 6:
The number 35 fits into 181 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 14845.0
Subtract 175 from 181 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
35 goes into 60 1 times with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 14845.1
If we subtract 35 from 60, we 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.

Let's proceed to step 8:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 14845.17
If we subtract 245 from 250, we 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.

Step 9:
50 divided by 35 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 14845.171
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 14845.1714
Subtract 140 from 150 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 35 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 14845.17142
Subtracting 70 from 100 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
300 divided by 35 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 14845.171428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
If we divide 200 by 35, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 14845.1714285
Subtracting 175 from 200 leaves us 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:
When dividing 250 by 35, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 14845.17142857
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.

The final result is 14845.17142857 with a remainder of 5e-09.