We divide 13259 by 6
We want to divide 13259 by 6.

Let's proceed to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Step 2:
If we divide 13 by 6, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 12 from 13 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 6

On to step 3:
6 can be fit into 12 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 22.0
Subtract 12 from 12 to get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 6

Going ahead to step 4:
When dividing 5 by 6, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 220.0
If we take 0 away from 5, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 6

Step 5:
If we divide 59 by 6, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 2209.0
Subtracting 54 from 59 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.

Advancing to step 6:
If we divide 50 by 6, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 2209.8
The remainder is 2 after subtracting 48 from 50.
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 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 2209.83
Subtracting 18 from 20 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.

Going ahead to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 2209.833
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 2209.833 with a remainder of 0.0002.