We divide 518679 by 71
We want to divide 518679 by 71.

Let's proceed to step 1:
The number 71 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
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 71

Moving on to step 2:
If we divide 51 by 71, we get 0 and a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 71

Let's proceed to step 3:
71 goes into 518 7 times with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 497 from 518 leaves us with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 71

On to step 4:
216 divided by 71 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 73.0
Deduct 213 from 216 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 71

On to step 5:
The number 71 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 730.0
Subtract 0 from 37 to get 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 71

Let's proceed to step 6:
71 can be fit into 379 5 times, resulting in a remainder of 24.
The next digit of our result is 5. 
Result so far: 7305.0
Subtracting 355 from 379 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
If we divide 240 by 71, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 7305.3
The remainder is 27 after subtracting 213 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
When dividing 270 by 71, we get 3 with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 7305.33
Subtract 213 from 270 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 7305.33 with a remainder of 0.057.