We're dividing 101838 by 9 
Our goal is to divide 101838 by 9.

Advancing to step 1:
9 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 9

Moving on to step 2:
9 goes into 10 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 9 from 10 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 9

Moving on to step 3:
11 divided by 9 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 9 from 11 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 9

Let's proceed to step 4:
28 divided by 9 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 113.0
The remainder is 1 after subtracting 27 from 28.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

On to step 5:
The number 9 fits into 13 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1131.0
If we subtract 9 from 13, we get 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 9

Moving on to step 6:
48 divided by 9 is 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 11315.0
The remainder is 3 after subtracting 45 from 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 11315.3
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 11315.33
Deduct 27 from 30 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 11315.33, and the remainder is 0.003.