We're dividing 428681 by 66 
Our goal is to divide 428681 by 66.

Advancing to step 1:
66 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 66

Moving on to step 2:
66 goes into 42 0 times with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Bring next digit (8) of the dividend behind the 42 and repeat the process: 428 / 66

Going ahead to step 3:
428 divided by 66 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 396 from 428 to get 32.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 66

Advancing to step 4:
The number 66 fits into 326 4 times, leaving a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Deduct 264 from 326 and we're left with 62.
Include the next digit (8) from the dividend after 62, then repeat: 628 / 66

On to step 5:
If we divide 628 by 66, we get 9 and a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 649.0
Subtract 594 from 628 to get 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 66

Let's proceed to step 6:
The number 66 fits into 341 5 times, leaving a remainder of 11.
The next digit of our result is 5. 
Result so far: 6495.0
If we take 330 away from 341, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
110 divided by 66 is 1 with a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 6495.1
If we take 66 away from 110, we end up 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.

Advancing to step 8:
66 can be fit into 440 6 times, resulting in a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6495.16
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.

Moving on to step 9:
The number 66 fits into 440 6 times, leaving a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 6495.166
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.

The quotient of the division is 6495.166, and the remainder is 0.0044.