35305835 ÷ 11 
We want to figure out the number of times 35305835 can be divided by 11.

Going ahead to step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 11

Going ahead to step 2:
When dividing 35 by 11, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 33 from 35 and we're left with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 11

Advancing to step 3:
23 divided by 11 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Deduct 22 from 23 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 11

Advancing to step 4:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 320.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 11

Going ahead to step 5:
The number 11 fits into 105 9 times, leaving a remainder of 6.
The next digit of our result is 9. 
Result so far: 3209.0
Deduct 99 from 105 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 11

On to step 6:
The number 11 fits into 68 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 32096.0
If we take 66 away from 68, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 11

Advancing to step 7:
11 can be fit into 23 2 times, resulting in a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 320962.0
Deduct 22 from 23 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 11

Let's proceed to step 8:
11 goes into 15 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 3209621.0
Subtracting 11 from 15 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3209621.3
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 3209621.36
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 3209621.363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
If we divide 70 by 11, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3209621.3636
If we subtract 66 from 70, we 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.

Going ahead to step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3209621.36363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
If we divide 70 by 11, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 3209621.363636
Deduct 66 from 70 and we're left with 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 15:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 3209621.3636363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 16:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 3209621.36363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 3209621.36363636 with a balance of 4e-09.