We divide 1086 by 9
We're looking to find how many times 9 goes into 1086.

Let's proceed to step 1:
9 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 9

On to step 2:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 9 from 10 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 9

Step 3:
When dividing 18 by 9, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 18 away from 18, we end up with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 9

Step 4:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 120.0
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.

Step 5:
60 divided by 9 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 120.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 6:
9 goes into 60 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 120.66
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.

The final result is 120.66 with a remainder of 0.006.