We're dividing 432476 by 66 
Our goal is to divide 432476 by 66.

Going ahead to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 66

Advancing to step 2:
43 divided by 66 is 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Bring next digit (2) of the dividend behind the 43 and repeat the process: 432 / 66

Advancing to step 3:
If we divide 432 by 66, we get 6 and a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 396 away from 432, we end up with 36.
Take the next digit (4) from the dividend and append it to 36, then repeat: 364 / 66

On to step 4:
66 can be fit into 364 5 times, resulting in a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Subtract 330 from 364 to get 34.
Fetch the next digit (7) from the dividend, attach it to 34 and continue: 347 / 66

On to step 5:
347 divided by 66 is 5 with a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 655.0
The remainder is 17 after subtracting 330 from 347.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 66

On to step 6:
176 divided by 66 is 2 with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 6552.0
If we subtract 132 from 176, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
66 goes into 440 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6552.6
Deduct 396 from 440 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
When dividing 440 by 66, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6552.66
Subtract 396 from 440 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Our division results in 6552.66 with a remaining 0.044.