We look at the division of 970681 by 71 
Our goal is to divide 970681 by 71.

Going ahead to step 1:
71 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 71

Advancing to step 2:
The number 71 fits into 97 1 times, leaving a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 71 from 97, we get 26.
Include the next digit (0) from the dividend after 26, then repeat: 260 / 71

Let's proceed to step 3:
260 divided by 71 is 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 213 from 260 and we're left with 47.
Fetch the next digit (6) from the dividend, attach it to 47 and continue: 476 / 71

Step 4:
When dividing 476 by 71, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Deduct 426 from 476 and we're left with 50.
Take the next digit (8) from the dividend and append it to 50, then repeat: 508 / 71

Step 5:
When dividing 508 by 71, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 1367.0
Subtracting 497 from 508 leaves us with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 71

Going ahead to step 6:
71 goes into 111 1 times with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 13671.0
If we subtract 71 from 111, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
71 can be fit into 400 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 13671.5
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
The number 71 fits into 450 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 13671.56
If we subtract 426 from 450, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
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: 13671.563
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.

Advancing to step 10:
The number 71 fits into 270 3 times, leaving a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 13671.5633
Deduct 213 from 270 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 13671.5633 and a remainder of 0.00057.