We look at the division of 11035 by 8 
Let's see how many times 8 fits into 11035.

Going ahead to step 1:
1 divided by 8 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 8

Let's proceed to step 2:
The number 8 fits into 11 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 8 from 11, we get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 8

On to step 3:
30 divided by 8 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 24 from 30 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 8

On to step 4:
When dividing 63 by 8, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
If we subtract 56 from 63, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 8

Going ahead to step 5:
When dividing 75 by 8, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1379.0
If we subtract 72 from 75, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
8 can be fit into 30 3 times, resulting in a remainder of 6.
The next digit of our result is 3. 
Result so far: 1379.3
Subtract 24 from 30 to get 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 7:
60 divided by 8 is 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 1379.37
Subtract 56 from 60 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.

Let's proceed to step 8:
8 goes into 40 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 1379.375
Deduct 40 from 40 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1379.375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
0 divided by 8 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1379.375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 1379.375, with a leftover of 0.0.