338207 ÷ 11 
Let's see how many times 11 fits into 338207.

On to step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 11

Step 2:
33 divided by 11 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 33 from 33, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 11

Step 3:
When dividing 8 by 11, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 11

Going ahead to step 4:
The number 11 fits into 82 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 307.0
If we take 77 away from 82, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 11

Step 5:
50 divided by 11 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 3074.0
Subtract 44 from 50 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 11

Moving on to step 6:
11 goes into 67 6 times with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 30746.0
If we take 66 away from 67, we end up 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:
11 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30746.0
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.

Advancing to step 8:
100 divided by 11 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 30746.09
If we take 99 away from 100, we end up 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.

On to step 9:
10 divided by 11 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 30746.09
The remainder is 10 after subtracting 0 from 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 10:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 30746.0909
Subtract 99 from 100 to 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.

Moving on to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30746.0909
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.

Let's proceed to step 12:
If we divide 100 by 11, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 30746.090909
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.

On to step 13:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 30746.090909
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.

Let's proceed to step 14:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 30746.09090909
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.

In conclusion, the division gives 30746.09090909 with a balance of 1e-09.