We're dividing 338805 by 11 
We're looking to find how many times 11 goes into 338805.

Step 1:
11 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 11

Step 2:
The number 11 fits into 33 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 0 after subtracting 33 from 33.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 11

Step 3:
When dividing 8 by 11, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 30.0
If we take 0 away from 8, we end up with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 11

On to step 4:
88 divided by 11 is 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 308.0
Subtracting 88 from 88 leaves us with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 11

Let's proceed to step 5:
11 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 3080.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 11

Advancing to step 6:
5 divided by 11 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 30800.0
Subtract 0 from 5 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 30800.4
Subtract 44 from 50 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 8:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 30800.45
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
When dividing 50 by 11, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 30800.454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 30800.4545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
11 goes into 50 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 30800.45454
If we take 44 away from 50, we end up with 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 12:
11 goes into 60 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 30800.454545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
11 can be fit into 50 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 30800.4545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 30800.45454545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 30800.45454545 and a remainder of 5e-09.