We're dividing 128966 by 16 
We're looking to find how many times 16 goes into 128966.

Moving on to step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 16

Going ahead to step 2:
12 divided by 16 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 16

Moving on to step 3:
16 can be fit into 128 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 128 from 128 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 16

Going ahead to step 4:
When dividing 9 by 16, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 16

On to step 5:
If we divide 96 by 16, we get 6 and a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 806.0
Deduct 96 from 96 and we're left with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 16

Moving on to step 6:
6 divided by 16 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 8060.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
The number 16 fits into 60 3 times, leaving a remainder of 12.
The next digit of our result is 3. 
Result so far: 8060.3
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 16, we get 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 8060.37
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
80 divided by 16 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 8060.375
If we subtract 80 from 80, we 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.

Moving on to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8060.375
If we subtract 0 from 0, we 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 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8060.375
If we take 0 away from 0, we end up 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.

After the division, we end up with 8060.375 and a remainder of 0.0.