We're dividing 430663 by 65 
Let's see how many times 65 fits into 430663.

On to 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
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

Moving on to step 2:
43 divided by 65 is 0 with 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.
Take the next digit (0) from the dividend and append it to 43, then repeat: 430 / 65

Step 3:
65 goes into 430 6 times with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 390 away from 430, we end up with 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 65

On to step 4:
When dividing 406 by 65, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 66.0
If we subtract 390 from 406, we get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 65

Going ahead to step 5:
65 goes into 166 2 times with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 662.0
If we subtract 130 from 166, we get 36.
Append the next digit (3) from the dividend to 36 and continue with: 363 / 65

Step 6:
65 goes into 363 5 times with a remainder of 38.
Use 5 as the next digit of our solution. 
Result so far: 6625.0
Subtracting 325 from 363 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
65 goes into 380 5 times with a remainder of 55.
The next digit of our result is 5. 
Result so far: 6625.5
Subtract 325 from 380 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 6625.58
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 65, we get 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 6625.584
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6625.5846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
If we divide 100 by 65, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6625.58461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6625.584615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 6625.5846153
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 14:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 6625.58461538
Deduct 520 from 550 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 6625.58461538, and the remainder is 3e-08.