We look at the division of 971981 by 9 
We want to divide 971981 by 9.

On to step 1:
If we divide 9 by 9, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 9 from 9.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 9

Advancing to step 2:
9 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

Moving on to step 3:
9 goes into 71 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 107.0
The remainder is 8 after subtracting 63 from 71.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 9

Let's proceed to step 4:
When dividing 89 by 9, we get 9 with a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 1079.0
Deduct 81 from 89 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 9

Moving on to step 5:
9 can be fit into 88 9 times, resulting in a remainder of 7.
The next digit of our result is 9. 
Result so far: 10799.0
If we subtract 81 from 88, we get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 6:
If we divide 71 by 9, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 107997.0
Deduct 63 from 71 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
9 goes into 80 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 107997.8
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 107997.88
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 107997.88 with a remaining 0.008.