We're dividing 350659 by 11 
Our goal is to divide 350659 by 11.

Step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 11

Advancing to step 2:
If we divide 35 by 11, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 2 after subtracting 33 from 35.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 11

Let's proceed to step 3:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 31.0
If we take 11 away from 20, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 11

Moving on to step 4:
When dividing 96 by 11, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 318.0
Subtracting 88 from 96 leaves us with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 11

Moving on to step 5:
If we divide 85 by 11, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 3187.0
Subtracting 77 from 85 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 11

Let's proceed to step 6:
11 can be fit into 89 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 31878.0
Deduct 88 from 89 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 7:
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: 31878.0
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.

Advancing to step 8:
If we divide 100 by 11, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 31878.09
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.

Let's proceed to step 9:
10 divided by 11 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 31878.09
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.

Going ahead to step 10:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 31878.0909
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 11:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 31878.0909
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.
Write down 9 as next digit of the result. 
Result so far: 31878.090909
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.

Let's proceed to step 13:
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: 31878.090909
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.

Moving on 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: 31878.09090909
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.

The final outcome is 31878.09090909, with a leftover of 1e-09.