We look at the division of 344628 by 13 
We're looking to find how many times 13 goes into 344628.

On to step 1:
3 divided by 13 is 0 with a remainder of 3.
The number 0 becomes the next digit in our 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 / 13

Advancing to step 2:
13 can be fit into 34 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 26 from 34 leaves us with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 13

Step 3:
When dividing 84 by 13, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 26.0
Deduct 78 from 84 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Moving on to step 4:
13 goes into 66 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 265.0
Subtracting 65 from 66 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 13

Advancing to step 5:
When dividing 12 by 13, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 2650.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 13

On to step 6:
If we divide 128 by 13, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 26509.0
Subtracting 117 from 128 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 26509.8
Subtracting 104 from 110 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.

Step 8:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 26509.84
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26509.846
Subtracting 78 from 80 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.

On to step 10:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 26509.8461
Subtracting 13 from 20 leaves us with 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 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 26509.84615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 26509.846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 26509.8461538
Subtracting 104 from 110 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.

Advancing to step 14:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 26509.84615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 26509.84615384 with a balance of 8e-09.