106116 ÷ 9 
Let's see how many times 9 fits into 106116.

Going ahead to step 1:
If we divide 1 by 9, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 9

Let's proceed to step 2:
The number 9 fits into 10 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 9 from 10 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 9

Moving on to step 3:
When dividing 16 by 9, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 9 away from 16, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 9

Let's proceed to step 4:
The number 9 fits into 71 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
If we take 63 away from 71, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 9

Step 5:
The number 9 fits into 81 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 1179.0
Deduct 81 from 81 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 9

Advancing to step 6:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 11790.0
If we take 0 away from 6, we end up 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 7:
60 divided by 9 is 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 11790.6
If we take 54 away from 60, we end up 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.

Let's proceed to step 8:
60 divided by 9 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 11790.66
If we take 54 away from 60, we end up 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.

After the division, we end up with 11790.66 and a remainder of 0.006.