We look at the division of 975431 by 22 
Our goal is to divide 975431 by 22.

On to step 1:
22 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 22

Advancing to step 2:
The number 22 fits into 97 4 times, leaving a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 9 after subtracting 88 from 97.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 22

Moving on to step 3:
The number 22 fits into 95 4 times, leaving a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 44.0
Deduct 88 from 95 and we're left with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 22

Going ahead to step 4:
The number 22 fits into 74 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 443.0
Subtract 66 from 74 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 22

Step 5:
22 goes into 83 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 4433.0
The remainder is 17 after subtracting 66 from 83.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 22

Moving on to step 6:
22 can be fit into 171 7 times, resulting in a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 44337.0
Deduct 154 from 171 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
When dividing 170 by 22, we get 7 with a remainder of 16.
The next digit of our result is 7. 
Result so far: 44337.7
If we subtract 154 from 170, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
160 divided by 22 is 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 44337.77
Deduct 154 from 160 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 44337.77 with a remainder of 0.006.