We look at the division of 905138 by 11 
We're looking to find how many times 11 goes into 905138.

Moving on to step 1:
11 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 11

On to step 2:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 88 from 90, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 11

On to step 3:
25 divided by 11 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we subtract 22 from 25, we get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 11

Let's proceed to step 4:
When dividing 31 by 11, we get 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 822.0
The remainder is 9 after subtracting 22 from 31.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 11

Advancing to step 5:
The number 11 fits into 93 8 times, leaving a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 8228.0
Subtract 88 from 93 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 11

Advancing to step 6:
11 goes into 58 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 82285.0
The remainder is 3 after subtracting 55 from 58.
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 7:
If we divide 30 by 11, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 82285.2
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 11 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 82285.27
Deduct 77 from 80 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.

Step 9:
If we divide 30 by 11, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 82285.272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
11 can be fit into 80 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 82285.2727
Subtracting 77 from 80 leaves us 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.

Let's proceed to step 11:
If we divide 30 by 11, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 82285.27272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
11 goes into 80 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 82285.272727
Subtracting 77 from 80 leaves us 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.

Let's proceed to step 13:
If we divide 30 by 11, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 82285.2727272
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 82285.27272727
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 82285.27272727 with a remaining 3e-09.