We're dividing 344124 by 11 
We want to figure out the number of times 344124 can be divided by 11.

Moving on 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
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 11

On to step 2:
The number 11 fits into 34 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 33 from 34 to get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 11

Let's proceed to step 3:
11 can be fit into 14 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtract 11 from 14 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 11

Moving on to step 4:
31 divided by 11 is 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 312.0
If we subtract 22 from 31, we get 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 11

Step 5:
11 can be fit into 92 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 3128.0
The remainder is 4 after subtracting 88 from 92.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 11

Going ahead to step 6:
11 goes into 44 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 31284.0
Subtract 44 from 44 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
If we divide 0 by 11, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 31284.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
11 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 31284.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 31284.0 with a remainder of 0.0.