We're dividing 346966 by 11 
We're looking to find how many times 11 goes into 346966.

Going ahead to step 1:
3 divided by 11 is 0 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.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 11

Moving on to 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
Subtract 33 from 34 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 11

On to step 3:
If we divide 16 by 11, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
The remainder is 5 after subtracting 11 from 16.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 11

Step 4:
The number 11 fits into 59 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 315.0
The remainder is 4 after subtracting 55 from 59.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 11

Step 5:
46 divided by 11 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 3154.0
Subtract 44 from 46 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 11

Going ahead to step 6:
The number 11 fits into 26 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 31542.0
Deduct 22 from 26 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 7:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 31542.3
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 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 31542.36
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.

On to step 9:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 31542.363
Subtract 33 from 40 to 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.

On to step 10:
11 goes into 70 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 31542.3636
Subtract 66 from 70 to 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 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 31542.36363
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.

On to step 12:
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: 31542.363636
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.

Going ahead to step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 31542.3636363
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.

Going ahead to step 14:
When dividing 70 by 11, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 31542.36363636
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.

Our division results in 31542.36363636 with a remaining 4e-09.