Let's divide 681028 by 71
We want to divide 681028 by 71.

Going ahead to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 71

Advancing to step 2:
71 goes into 68 0 times with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Append the next digit (1) from the dividend to 68 and continue with: 681 / 71

Going ahead to step 3:
71 can be fit into 681 9 times, resulting in a remainder of 42.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 42 after subtracting 639 from 681.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 71

Going ahead to step 4:
420 divided by 71 is 5 with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Deduct 355 from 420 and we're left with 65.
Include the next digit (2) from the dividend after 65, then repeat: 652 / 71

Let's proceed to step 5:
71 goes into 652 9 times with a remainder of 13.
The next digit of our result is 9. 
Result so far: 959.0
Subtract 639 from 652 to get 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 71

Let's proceed to step 6:
138 divided by 71 is 1 with a remainder of 67.
The number 1 becomes the next digit in our result. 
Result so far: 9591.0
Subtracting 71 from 138 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
670 divided by 71 is 9 with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 9591.9
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.

Step 8:
The number 71 fits into 310 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 9591.94
Deduct 284 from 310 and we're left 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.

Moving on to step 9:
The number 71 fits into 260 3 times, leaving a remainder of 47.
The next digit of our result is 3. 
Result so far: 9591.943
Deduct 213 from 260 and we're left 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.

Going ahead to step 10:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 9591.9436
The remainder is 44 after subtracting 426 from 470.
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 11:
71 can be fit into 440 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 9591.94366
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 9591.94366 with a remainder of 1.4e-05.