We divide 101116 by 9
Let's see how many times 9 fits into 101116.

Step 1:
9 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 9

Step 2:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 9 from 10, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 9

Step 3:
11 divided by 9 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 9 from 11 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 9

Moving on to step 4:
21 divided by 9 is 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 112.0
Subtracting 18 from 21 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 9

Advancing to step 5:
When dividing 31 by 9, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 1123.0
Deduct 27 from 31 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 9

Moving on to step 6:
If we divide 46 by 9, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 11235.0
Deduct 45 from 46 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
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: 11235.1
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
9 goes into 10 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 11235.11
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 11235.11 with a balance of 0.001.