431012 ÷ 66 
Our goal is to divide 431012 by 66.

Going ahead to step 1:
If we divide 4 by 66, we get 0 and 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.
Take the next digit (3) from the dividend and append it to 4, then repeat: 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
If we subtract 0 from 43, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 66

Advancing to step 3:
The number 66 fits into 431 6 times, leaving a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 35 after subtracting 396 from 431.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 66

Advancing to step 4:
The number 66 fits into 350 5 times, leaving a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Deduct 330 from 350 and we're left with 20.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 66

Moving on to step 5:
When dividing 201 by 66, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 653.0
The remainder is 3 after subtracting 198 from 201.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 66

Step 6:
66 can be fit into 32 0 times, resulting in a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 6530.0
If we subtract 0 from 32, we get 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 7:
When dividing 320 by 66, we get 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 6530.4
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.

Moving on to step 8:
560 divided by 66 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 6530.48
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.

Going ahead to step 9:
If we divide 320 by 66, we get 4 and a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 6530.484
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.

On to step 10:
If we divide 560 by 66, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 6530.4848
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.

Step 11:
When dividing 320 by 66, we get 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 6530.48484
The remainder is 56 after subtracting 264 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 12:
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: 6530.484848
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.

Going ahead to step 13:
320 divided by 66 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 6530.4848484
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.

Moving on to step 14:
When dividing 560 by 66, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 6530.48484848
If we take 528 away from 560, we end up 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.

In conclusion, the division gives 6530.48484848 with a balance of 3.2e-08.