We divide 105385 by 9
We want to figure out the number of times 105385 can be divided by 9.

Advancing to step 1:
1 divided by 9 is 0 with 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 9

Let's proceed to step 2:
If we divide 10 by 9, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 9 from 10, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 9

Going ahead to step 3:
The number 9 fits into 15 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 9 from 15 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 9

On to step 4:
The number 9 fits into 63 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
Deduct 63 from 63 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 9

Let's proceed to step 5:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 1170.0
If we take 0 away from 8, we end up with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

On to step 6:
When dividing 85 by 9, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 11709.0
Subtract 81 from 85 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
When dividing 40 by 9, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 11709.4
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 9 fits into 40 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 11709.44
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 11709.44 with a remainder of 0.004.