101350 ÷ 9 
Our goal is to divide 101350 by 9.

Advancing to step 1:
The number 9 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 9

Moving on to step 2:
10 divided by 9 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 9 from 10, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 9

On to step 3:
If we divide 11 by 9, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 2 after subtracting 9 from 11.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 9

Let's proceed to step 4:
When dividing 23 by 9, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 112.0
If we subtract 18 from 23, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 9

Going ahead to step 5:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 1126.0
Deduct 54 from 55 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 9

Let's proceed to step 6:
10 divided by 9 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 11261.0
Subtracting 9 from 10 leaves us 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.

Let's proceed to step 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 11261.1
If we take 9 away from 10, we end up 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.

Going ahead to 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: 11261.11
If we take 9 away from 10, we end up 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.

The final result is 11261.11 with a remainder of 0.001.