We look at the division of 424419 by 65 
We want to divide 424419 by 65.

Step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 65

On to step 2:
65 can be fit into 42 0 times, resulting in a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Bring next digit (4) of the dividend behind the 42 and repeat the process: 424 / 65

Moving on to step 3:
The number 65 fits into 424 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 390 away from 424, we end up with 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 65

Let's proceed to step 4:
65 goes into 344 5 times with a remainder of 19.
The next digit of our result is 5. 
Result so far: 65.0
If we subtract 325 from 344, we get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 65

Going ahead to step 5:
The number 65 fits into 191 2 times, leaving a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 652.0
Subtract 130 from 191 to get 61.
Fetch the next digit (9) from the dividend, attach it to 61 and continue: 619 / 65

On to step 6:
If we divide 619 by 65, we get 9 and a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 6529.0
The remainder is 34 after subtracting 585 from 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
The number 65 fits into 340 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 6529.5
Subtracting 325 from 340 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
65 goes into 150 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6529.52
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.

Moving on to step 9:
200 divided by 65 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 6529.523
Subtract 195 from 200 to 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 10:
If we divide 50 by 65, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6529.523
Subtract 0 from 50 to get 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:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 6529.52307
If we subtract 455 from 500, we get 45.
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:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 6529.523076
If we subtract 390 from 450, we 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.

Going ahead to step 13:
600 divided by 65 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 6529.5230769
Subtract 585 from 600 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.

Let's proceed to step 14:
150 divided by 65 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6529.52307692
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 6529.52307692, with a leftover of 2e-08.