349574 divided by 11 
We want to figure out the number of times 349574 can be divided by 11.

Going ahead to step 1:
If we divide 3 by 11, we get 0 and a remainder of 3.
The next digit of our result is 0. 
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

Advancing to step 2:
When dividing 34 by 11, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 33 away from 34, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 11

Moving on to step 3:
19 divided by 11 is 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Deduct 11 from 19 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 11

Let's proceed to step 4:
11 goes into 85 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 317.0
Subtract 77 from 85 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 11

Advancing to step 5:
11 can be fit into 87 7 times, resulting in a remainder of 10.
The next digit of our result is 7. 
Result so far: 3177.0
Subtracting 77 from 87 leaves us with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 11

Going ahead to step 6:
The number 11 fits into 104 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 31779.0
The remainder is 5 after subtracting 99 from 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 11 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 31779.4
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 31779.45
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
When dividing 50 by 11, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 31779.454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 31779.4545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
When dividing 50 by 11, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 31779.45454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 31779.454545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 31779.4545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
11 can be fit into 60 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 31779.45454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 31779.45454545 and a remainder of 5e-09.