We're dividing 517869 by 71 
We're looking to find how many times 71 goes into 517869.

Moving on to step 1:
71 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 71

Step 2:
The number 71 fits into 51 0 times, leaving a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 71

On to step 3:
The number 71 fits into 517 7 times, leaving a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 497 away from 517, we end up with 20.
Bring next digit (8) of the dividend behind the 20 and repeat the process: 208 / 71

On to step 4:
The number 71 fits into 208 2 times, leaving a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we subtract 142 from 208, we get 66.
Include the next digit (6) from the dividend after 66, then repeat: 666 / 71

Moving on to step 5:
The number 71 fits into 666 9 times, leaving a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 729.0
Subtracting 639 from 666 leaves us with 27.
Bring next digit (9) of the dividend behind the 27 and repeat the process: 279 / 71

Let's proceed to step 6:
When dividing 279 by 71, we get 3 with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 7293.0
If we subtract 213 from 279, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 7:
When dividing 660 by 71, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 7293.9
The remainder is 21 after subtracting 639 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
If we divide 210 by 71, we get 2 and a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 7293.92
If we subtract 142 from 210, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
The number 71 fits into 680 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 7293.929
The remainder is 41 after subtracting 639 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
If we divide 410 by 71, we get 5 and a remainder of 55.
The next digit of our result is 5. 
Result so far: 7293.9295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 11:
71 goes into 550 7 times with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 7293.92957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 12:
If we divide 530 by 71, we get 7 and a remainder of 33.
The next digit of our result is 7. 
Result so far: 7293.929577
Deduct 497 from 530 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 7293.929577 with a balance of 3.3e-06.