Let's divide 435315 by 66
Our goal is to divide 435315 by 66.

Going ahead to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 66

Let's proceed to step 2:
66 can be fit into 43 0 times, resulting in a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 66

Moving on to step 3:
When dividing 435 by 66, we get 6 with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 39 after subtracting 396 from 435.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 66

Going ahead to step 4:
If we divide 393 by 66, we get 5 and a remainder of 63.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 330 from 393, we get 63.
Append the next digit (1) from the dividend to 63 and continue with: 631 / 66

Let's proceed to step 5:
66 can be fit into 631 9 times, resulting in a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 659.0
Subtracting 594 from 631 leaves us with 37.
Fetch the next digit (5) from the dividend, attach it to 37 and continue: 375 / 66

Step 6:
375 divided by 66 is 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6595.0
If we subtract 330 from 375, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
If we divide 450 by 66, we get 6 and a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 6595.6
If we take 396 away from 450, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
66 can be fit into 540 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6595.68
The remainder is 12 after subtracting 528 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
120 divided by 66 is 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 6595.681
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 10:
540 divided by 66 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6595.6818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
If we divide 120 by 66, we get 1 and a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 6595.68181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 12:
66 goes into 540 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6595.681818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
66 can be fit into 120 1 times, resulting in a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 6595.6818181
Subtract 66 from 120 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 14:
When dividing 540 by 66, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6595.68181818
If we take 528 away from 540, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 6595.68181818 with a remaining 1.2e-08.