We look at the division of 809414 by 65 
We're looking to find how many times 65 goes into 809414.

Let's proceed to step 1:
65 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 65

Moving on to step 2:
When dividing 80 by 65, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 65 from 80.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 65

Moving on to step 3:
The number 65 fits into 159 2 times, leaving a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 130 from 159 leaves us with 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 65

Moving on to step 4:
65 can be fit into 294 4 times, resulting in a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
If we subtract 260 from 294, we get 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 65

Advancing to step 5:
If we divide 341 by 65, we get 5 and a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 1245.0
The remainder is 16 after subtracting 325 from 341.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 65

Moving on to step 6:
If we divide 164 by 65, we get 2 and a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 12452.0
If we subtract 130 from 164, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
When dividing 340 by 65, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 12452.5
Subtract 325 from 340 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 65, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 12452.52
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 12452.523
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
When dividing 50 by 65, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 12452.523
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
If we divide 500 by 65, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 12452.52307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 12:
65 goes into 450 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 12452.523076
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
If we divide 600 by 65, we get 9 and a remainder of 15.
The next digit of our result is 9. 
Result so far: 12452.5230769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
150 divided by 65 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 12452.52307692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 12452.52307692 and a remainder of 2e-08.