407960 divided by 13 
Let's see how many times 13 fits into 407960.

Step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Let's proceed to step 2:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 1 after subtracting 39 from 40.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 13

Step 3:
13 goes into 17 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtracting 13 from 17 leaves us with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Advancing to step 4:
13 goes into 49 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 313.0
Subtracting 39 from 49 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 13

Going ahead to step 5:
13 goes into 106 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3138.0
Subtract 104 from 106 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 13

On to step 6:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 31381.0
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 31381.5
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.

Advancing to step 8:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 31381.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 31381.538
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.

Step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 31381.5384
If we take 52 away from 60, we end up 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 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 31381.53846
Deduct 78 from 80 and we're left 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.

Step 12:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 31381.538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 31381.5384615
If we subtract 65 from 70, we get 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 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 31381.53846153
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.

In conclusion, the division gives 31381.53846153 with a balance of 1.1e-08.