Let's divide 343639 by 13
We want to divide 343639 by 13.

Going ahead to step 1:
13 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

On to step 2:
13 goes into 34 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 8 after subtracting 26 from 34.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 13

On to step 3:
When dividing 83 by 13, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 78 from 83 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Going ahead to step 4:
13 can be fit into 56 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 264.0
Subtracting 52 from 56 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Step 5:
When dividing 43 by 13, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 2643.0
If we take 39 away from 43, we end up with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 13

On to step 6:
When dividing 49 by 13, we get 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 26433.0
Deduct 39 from 49 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 26433.7
If we subtract 91 from 100, 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.

Let's proceed to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 26433.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 26433.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 26433.7692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 26433.76923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 26433.76923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 26433.7692307
Subtracting 91 from 100 leaves us 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.

Going ahead to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 26433.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 26433.76923076 and a remainder of 1.2e-08.