Let's divide 339969 by 13
We're looking to find how many times 13 goes into 339969.

Let's proceed to step 1:
13 can be fit into 3 0 times, resulting in 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.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Going ahead to step 2:
13 goes into 33 2 times with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 26 from 33 to get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

On to step 3:
When dividing 79 by 13, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 78 from 79 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 13

Going ahead to step 4:
19 divided by 13 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
The remainder is 6 after subtracting 13 from 19.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Moving on to step 5:
13 can be fit into 66 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 2615.0
If we take 65 away from 66, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 13

Let's proceed to step 6:
13 goes into 19 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 26151.0
If we subtract 13 from 19, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 26151.4
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 26151.46
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.

Let's proceed to step 9:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 26151.461
Subtract 13 from 20 to get 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 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 26151.4615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 26151.46153
Deduct 39 from 50 and we're left 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 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 26151.461538
If we take 104 away from 110, we end up 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.

Moving on to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 26151.4615384
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.

Going ahead to step 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26151.46153846
Subtract 78 from 80 to 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.

After the division, we end up with 26151.46153846 and a remainder of 2e-09.