We're dividing 433124 by 66 
Our goal is to divide 433124 by 66.

Going ahead to step 1:
The number 66 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 66

Going ahead to step 2:
43 divided by 66 is 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 66

On to step 3:
When dividing 433 by 66, we get 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 396 from 433 leaves us with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 66

Moving on to step 4:
If we divide 371 by 66, we get 5 and a remainder of 41.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we take 330 away from 371, we end up with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 66

Going ahead to step 5:
66 goes into 412 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 656.0
The remainder is 16 after subtracting 396 from 412.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 66

Moving on to step 6:
66 goes into 164 2 times with a remainder of 32.
The next digit of our result is 2. 
Result so far: 6562.0
Subtracting 132 from 164 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
320 divided by 66 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 6562.4
Deduct 264 from 320 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
If we divide 560 by 66, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 6562.48
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
66 goes into 320 4 times with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 6562.484
If we take 264 away from 320, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
When dividing 560 by 66, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 6562.4848
Deduct 528 from 560 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
66 can be fit into 320 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 6562.48484
Subtracting 264 from 320 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
66 goes into 560 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 6562.484848
Subtracting 528 from 560 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 6562.4848484
Subtract 264 from 320 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 14:
The number 66 fits into 560 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 6562.48484848
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 6562.48484848 and a remainder of 3.2e-08.