Let's divide 465809 by 13
We're looking to find how many times 13 goes into 465809.

Moving on to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Going ahead to step 2:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 39 away from 46, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Let's proceed to step 3:
75 divided by 13 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 35.0
The remainder is 10 after subtracting 65 from 75.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

On to step 4:
13 goes into 108 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 358.0
If we subtract 104 from 108, we get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Advancing to step 5:
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: 3583.0
Deduct 39 from 40 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Let's proceed to step 6:
13 goes into 19 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 35831.0
Subtracting 13 from 19 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.

Moving on to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 35831.4
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.

Step 8:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 35831.46
If we subtract 78 from 80, we 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.

Step 9:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35831.461
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.

Let's proceed to step 10:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 35831.4615
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:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 35831.46153
Subtract 39 from 50 to 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.

Going ahead to step 12:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 35831.461538
Subtract 104 from 110 to 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.

Moving on to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 35831.4615384
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:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35831.46153846
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.

In conclusion, the division gives 35831.46153846 with a balance of 2e-09.