We're dividing 679336 by 71 
We want to divide 679336 by 71.

On to step 1:
71 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 71

Let's proceed to step 2:
67 divided by 71 is 0 with a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 71

Advancing to step 3:
If we divide 679 by 71, we get 9 and a remainder of 40.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 639 from 679 leaves us with 40.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 71

Advancing to step 4:
403 divided by 71 is 5 with a remainder of 48.
Use 5 as the next digit of our solution. 
Result so far: 95.0
If we take 355 away from 403, we end up with 48.
Include the next digit (3) from the dividend after 48, then repeat: 483 / 71

On to step 5:
The number 71 fits into 483 6 times, leaving a remainder of 57.
The next digit of our result is 6. 
Result so far: 956.0
The remainder is 57 after subtracting 426 from 483.
Include the next digit (6) from the dividend after 57, then repeat: 576 / 71

Going ahead to step 6:
576 divided by 71 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9568.0
Subtract 568 from 576 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
If we divide 80 by 71, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 9568.1
If we subtract 71 from 80, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
71 can be fit into 90 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 9568.11
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 9568.11, with a leftover of 0.019.