Let's divide 344661 by 11
We want to figure out the number of times 344661 can be divided by 11.

Going ahead to step 1:
3 divided by 11 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 11

Going ahead to step 2:
The number 11 fits into 34 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 33 from 34 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 11

Advancing to step 3:
The number 11 fits into 14 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 31.0
If we take 11 away from 14, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 11

Advancing to step 4:
11 can be fit into 36 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 313.0
The remainder is 3 after subtracting 33 from 36.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 11

Moving on to step 5:
When dividing 36 by 11, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3133.0
If we take 33 away from 36, we end up with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 11

On to step 6:
The number 11 fits into 31 2 times, leaving a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 31332.0
Subtract 22 from 31 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
11 goes into 90 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 31332.8
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 31332.81
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
11 goes into 90 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 31332.818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 31332.8181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 31332.81818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 31332.818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 31332.8181818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 31332.81818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 31332.81818181, and the remainder is 9e-09.