We're dividing 430321 by 66 
Let's see how many times 66 fits into 430321.

Step 1:
4 divided by 66 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 66

Let's proceed to step 2:
When dividing 43 by 66, we get 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 66

Let's proceed to step 3:
66 can be fit into 430 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 396 from 430, we get 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 66

Step 4:
66 can be fit into 343 5 times, resulting in a remainder of 13.
The next digit of our result is 5. 
Result so far: 65.0
If we subtract 330 from 343, we get 13.
Bring next digit (2) of the dividend behind the 13 and repeat the process: 132 / 66

On to step 5:
132 divided by 66 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 652.0
The remainder is 0 after subtracting 132 from 132.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 66

Let's proceed to step 6:
When dividing 1 by 66, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 6520.0
If we subtract 0 from 1, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
66 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6520.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 66 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 6520.01
The remainder is 34 after subtracting 66 from 100.
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 9:
The number 66 fits into 340 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6520.015
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 66 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 6520.0151
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
If we divide 340 by 66, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6520.01515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
If we divide 100 by 66, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 6520.015151
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
If we divide 340 by 66, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6520.0151515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
The number 66 fits into 100 1 times, leaving a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 6520.01515151
Subtract 66 from 100 to 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.

Our division results in 6520.01515151 with a remaining 3.4e-08.