We look at the division of 966228 by 9 
Let's see how many times 9 fits into 966228.

Moving on to step 1:
The number 9 fits into 9 1 times, leaving 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 (6) from the dividend to 0 and continue with: 6 / 9

Let's proceed to step 2:
6 divided by 9 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

Step 3:
66 divided by 9 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Subtract 63 from 66 to get 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 9

Step 4:
32 divided by 9 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 1073.0
Subtracting 27 from 32 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 9

Step 5:
9 goes into 52 5 times with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 10735.0
Deduct 45 from 52 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 9

On to step 6:
The number 9 fits into 78 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 107358.0
Subtracting 72 from 78 leaves us 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.

Advancing to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 107358.6
Subtracting 54 from 60 leaves us 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.

Moving on to step 8:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 107358.66
Deduct 54 from 60 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 107358.66 with a remainder of 0.006.