966105 ÷ 9 
We're looking to find how many times 9 goes into 966105.

Going ahead to step 1:
The number 9 fits into 9 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 9 from 9 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 9

Moving on to step 2:
9 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 3:
The number 9 fits into 66 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
The remainder is 3 after subtracting 63 from 66.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Let's proceed to step 4:
The number 9 fits into 31 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 1073.0
If we take 27 away from 31, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 9

Step 5:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 10734.0
The remainder is 4 after subtracting 36 from 40.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

Moving on to step 6:
45 divided by 9 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 107345.0
Deduct 45 from 45 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
0 divided by 9 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 107345.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
9 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 107345.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 107345.0 with a remainder of 0.0.