We look at the division of 406409 by 13 
We want to divide 406409 by 13.

Advancing to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Step 2:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 39 from 40, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 13

On to step 3:
The number 13 fits into 16 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 31.0
The remainder is 3 after subtracting 13 from 16.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

Going ahead to step 4:
When dividing 34 by 13, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 312.0
Subtracting 26 from 34 leaves us with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 13

On to step 5:
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: 3126.0
The remainder is 2 after subtracting 78 from 80.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 13

On to step 6:
The number 13 fits into 29 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 31262.0
If we take 26 away from 29, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 31262.2
Subtracting 26 from 30 leaves us 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.

Moving on to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 31262.23
If we take 39 away from 40, we end up 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.

Let's proceed to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 31262.23
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 31262.2307
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 11:
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: 31262.23076
If we subtract 78 from 90, we 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.

Moving on to step 12:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 31262.230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 31262.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 31262.23076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 31262.23076923 with a remainder of 1e-09.