We're dividing 519533 by 71 
We want to divide 519533 by 71.

Step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 71

Advancing to step 2:
71 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 71

Step 3:
71 goes into 519 7 times with a remainder of 22.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 497 from 519, we get 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 71

Advancing to step 4:
71 can be fit into 225 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 73.0
The remainder is 12 after subtracting 213 from 225.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 71

On to step 5:
If we divide 123 by 71, we get 1 and a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 731.0
The remainder is 52 after subtracting 71 from 123.
Include the next digit (3) from the dividend after 52, then repeat: 523 / 71

Step 6:
When dividing 523 by 71, we get 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7317.0
Subtracting 497 from 523 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
71 can be fit into 260 3 times, resulting in a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 7317.3
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 8:
71 goes into 470 6 times with a remainder of 44.
The next digit of our result is 6. 
Result so far: 7317.36
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
71 goes into 440 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 7317.366
Subtracting 426 from 440 leaves us 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 7317.366 with a remainder of 0.0014.