We divide 409259 by 13
We're looking to find how many times 13 goes into 409259.

Going ahead to step 1:
13 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Advancing to step 2:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 39 from 40 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 13

Step 3:
19 divided by 13 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we take 13 away from 19, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 13

Advancing to step 4:
When dividing 62 by 13, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 314.0
If we subtract 52 from 62, we get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 13

Let's proceed to step 5:
The number 13 fits into 105 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 3148.0
The remainder is 1 after subtracting 104 from 105.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

On to step 6:
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: 31481.0
The remainder is 6 after subtracting 13 from 19.
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 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 31481.4
Subtract 52 from 60 to 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.

Moving on to step 8:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 31481.46
The remainder is 2 after subtracting 78 from 80.
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 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 31481.461
If we subtract 13 from 20, we 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.

Going ahead to step 10:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31481.4615
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.

Going ahead to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 31481.46153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 31481.461538
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.

Going ahead to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 31481.4615384
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.

Step 14:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 31481.46153846
If we take 78 away from 80, we end up 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.

The final outcome is 31481.46153846, with a leftover of 2e-09.