430671 divided by 65 
We want to divide 430671 by 65.

Moving on to step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 65

Going ahead to step 2:
If we divide 43 by 65, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 65

Let's proceed to step 3:
65 can be fit into 430 6 times, resulting in a remainder of 40.
The next digit of our result is 6. 
Result so far: 6.0
If we take 390 away from 430, we end up with 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 65

Advancing to step 4:
The number 65 fits into 406 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtract 390 from 406 to get 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 65

On to step 5:
167 divided by 65 is 2 with a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 662.0
Deduct 130 from 167 and we're left with 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 65

Moving on to step 6:
65 goes into 371 5 times with a remainder of 46.
Put 5 as the next digit of the answer. 
Result so far: 6625.0
If we subtract 325 from 371, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
460 divided by 65 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 6625.7
Subtract 455 from 460 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.

Moving on to step 8:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6625.7
Deduct 0 from 50 and we're left 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.

Step 9:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6625.707
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 10:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6625.7076
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.

Let's proceed to step 11:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 6625.70769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 6625.707692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
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: 6625.7076923
Subtracting 195 from 200 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.

Let's proceed to step 14:
If we divide 50 by 65, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6625.7076923
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.

The final outcome is 6625.7076923, with a leftover of 5e-08.