We look at the division of 417882 by 66 
Our goal is to divide 417882 by 66.

Let's proceed to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 66

Going ahead to step 2:
66 can be fit into 41 0 times, resulting in a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (7) of the dividend behind the 41 and repeat the process: 417 / 66

Moving on to step 3:
66 goes into 417 6 times with a remainder of 21.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 396 from 417, we get 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 66

Step 4:
218 divided by 66 is 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Subtracting 198 from 218 leaves us with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 66

On to step 5:
66 can be fit into 208 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 633.0
Deduct 198 from 208 and we're left with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 66

Step 6:
If we divide 102 by 66, we get 1 and a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 6331.0
If we subtract 66 from 102, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
66 goes into 360 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 6331.5
If we subtract 330 from 360, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
66 can be fit into 300 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 6331.54
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
66 goes into 360 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6331.545
If we take 330 away from 360, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
66 goes into 300 4 times with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 6331.5454
Deduct 264 from 300 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
The number 66 fits into 360 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6331.54545
Subtracting 330 from 360 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
The number 66 fits into 300 4 times, leaving a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 6331.545454
Subtract 264 from 300 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
360 divided by 66 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6331.5454545
If we take 330 away from 360, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
The number 66 fits into 300 4 times, leaving a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 6331.54545454
Subtracting 264 from 300 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 6331.54545454 with a remaining 3.6e-08.