119296 divided by 11 
We want to figure out the number of times 119296 can be divided by 11.

Advancing to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 11

Advancing to step 2:
11 divided by 11 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 11 from 11, we get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 11

Going ahead to step 3:
If we divide 9 by 11, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 11

Let's proceed to step 4:
11 can be fit into 92 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 108.0
If we subtract 88 from 92, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 11

Let's proceed to step 5:
If we divide 49 by 11, we get 4 and a remainder of 5.
The next digit of our result is 4. 
Result so far: 1084.0
Deduct 44 from 49 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 11

Going ahead to step 6:
11 goes into 56 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 10845.0
Subtracting 55 from 56 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.

Moving on to step 7:
10 divided by 11 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10845.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 10845.09
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10845.09
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 10845.0909
The remainder is 1 after subtracting 99 from 100.
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 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10845.0909
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
If we divide 100 by 11, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 10845.090909
Deduct 99 from 100 and we're left 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 13:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10845.090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 10845.09090909
Deduct 99 from 100 and we're left 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 quotient of the division is 10845.09090909, and the remainder is 1e-09.