We look at the division of 340759 by 11 
We want to figure out the number of times 340759 can be divided by 11.

Advancing to step 1:
11 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 11

Step 2:
If we divide 34 by 11, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 33 from 34 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 11

Step 3:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 30.0
If we take 0 away from 10, we end up with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 11

On to step 4:
When dividing 107 by 11, we get 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 309.0
Subtracting 99 from 107 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 11

Step 5:
11 can be fit into 85 7 times, resulting in a remainder of 8.
The next digit of our result is 7. 
Result so far: 3097.0
The remainder is 8 after subtracting 77 from 85.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 11

Going ahead to step 6:
11 can be fit into 89 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 30978.0
Subtracting 88 from 89 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:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 30978.0
Subtract 0 from 10 to 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.

Going ahead to step 8:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 30978.09
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.

On to step 9:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 30978.09
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 10:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 30978.0909
Subtracting 99 from 100 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 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 30978.0909
Subtracting 0 from 10 leaves us 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:
11 goes into 100 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 30978.090909
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.

On to step 13:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 30978.090909
Subtract 0 from 10 to 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.

Step 14:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 30978.09090909
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 final result is 30978.09090909 with a remainder of 1e-09.