We're dividing 519175 by 71 
We want to divide 519175 by 71.

Step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 71

On to step 2:
The number 71 fits into 51 0 times, leaving a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Include the next digit (9) from the dividend after 51, then repeat: 519 / 71

Going ahead to step 3:
The number 71 fits into 519 7 times, leaving a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 22 after subtracting 497 from 519.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 71

Moving on to step 4:
If we divide 221 by 71, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we take 213 away from 221, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 71

Step 5:
71 goes into 87 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 731.0
If we subtract 71 from 87, we get 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 71

Let's proceed to step 6:
71 can be fit into 165 2 times, resulting in a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 7312.0
Subtracting 142 from 165 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
If we divide 230 by 71, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 7312.3
Deduct 213 from 230 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
When dividing 170 by 71, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 7312.32
Subtract 142 from 170 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 71, we get 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 7312.323
The remainder is 67 after subtracting 213 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 10:
If we divide 670 by 71, we get 9 and a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 7312.3239
Deduct 639 from 670 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 11:
When dividing 310 by 71, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 7312.32394
Subtract 284 from 310 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
71 goes into 260 3 times with a remainder of 47.
The next digit of our result is 3. 
Result so far: 7312.323943
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 13:
470 divided by 71 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7312.3239436
If we subtract 426 from 470, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 14:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 7312.32394366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 7312.32394366 with a remainder of 1.4e-08.