Let's divide 416574 by 66
Our goal is to divide 416574 by 66.

Advancing to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 66

Going ahead to step 2:
The number 66 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 66

On to step 3:
The number 66 fits into 416 6 times, leaving a remainder of 20.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 396 from 416 and we're left with 20.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 66

Moving on to step 4:
If we divide 205 by 66, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Subtract 198 from 205 to get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 66

Moving on to step 5:
66 goes into 77 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 631.0
Deduct 66 from 77 and we're left with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 66

Let's proceed to step 6:
If we divide 114 by 66, we get 1 and a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 6311.0
If we take 66 away from 114, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
66 goes into 480 7 times with a remainder of 18.
The next digit of our result is 7. 
Result so far: 6311.7
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
If we divide 180 by 66, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 6311.72
Deduct 132 from 180 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
When dividing 480 by 66, we get 7 with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 6311.727
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
180 divided by 66 is 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 6311.7272
Deduct 132 from 180 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
66 can be fit into 480 7 times, resulting in a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 6311.72727
If we subtract 462 from 480, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
66 goes into 180 2 times with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 6311.727272
If we take 132 away from 180, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
When dividing 480 by 66, we get 7 with a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 6311.7272727
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
The number 66 fits into 180 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 6311.72727272
If we take 132 away from 180, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 6311.72727272 and a remainder of 4.8e-08.