We look at the division of 9668109 by 344 
We're looking to find how many times 344 goes into 9668109.

Advancing to step 1:
9 divided by 344 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 344

Moving on to step 2:
96 divided by 344 is 0 with a remainder of 96.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 96 to get 96.
Grab the next digit (6) from the dividend, add it to 96, then carry on: 966 / 344

On to step 3:
When dividing 966 by 344, we get 2 with a remainder of 278.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 688 from 966 to get 278.
Append the next digit (8) from the dividend to 278 and continue with: 2788 / 344

Going ahead to step 4:
When dividing 2788 by 344, we get 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Subtract 2752 from 2788 to get 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 344

Moving on to step 5:
When dividing 361 by 344, we get 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 281.0
Subtracting 344 from 361 leaves us with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 344

Advancing to step 6:
344 can be fit into 170 0 times, resulting in a remainder of 170.
Record the quotient 0 as the next digit in the result. 
Result so far: 2810.0
The remainder is 170 after subtracting 0 from 170.
Grab the next digit (9) from the dividend, add it to 170, then carry on: 1709 / 344

Let's proceed to step 7:
If we divide 1709 by 344, we get 4 and a remainder of 333.
Write down 4 as next digit of the result. 
Result so far: 28104.0
Subtract 1376 from 1709 to get 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3330, and continue the process.

Step 8:
344 can be fit into 3330 9 times, resulting in a remainder of 234.
Write down 9 as next digit of the result. 
Result so far: 28104.9
If we take 3096 away from 3330, we end up with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 9:
When dividing 2340 by 344, we get 6 with a remainder of 276.
Put 6 as the next digit of the answer. 
Result so far: 28104.96
Deduct 2064 from 2340 and we're left with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

On to step 10:
The number 344 fits into 2760 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 28104.968
The remainder is 8 after subtracting 2752 from 2760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
If we divide 80 by 344, we get 0 and a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 28104.968
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
The number 344 fits into 800 2 times, leaving a remainder of 112.
Use 2 as the next digit of our solution. 
Result so far: 28104.96802
Subtracting 688 from 800 leaves us with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Advancing to step 13:
344 can be fit into 1120 3 times, resulting in a remainder of 88.
Put 3 as the next digit of the answer. 
Result so far: 28104.968023
If we subtract 1032 from 1120, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 14:
344 goes into 880 2 times with a remainder of 192.
The next digit of our result is 2. 
Result so far: 28104.9680232
If we subtract 688 from 880, we get 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Advancing to step 15:
When dividing 1920 by 344, we get 5 with a remainder of 200.
Use 5 as the next digit of our solution. 
Result so far: 28104.96802325
If we subtract 1720 from 1920, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 28104.96802325 with a balance of 2e-07.