We're dividing 409271 by 66 
We want to figure out the number of times 409271 can be divided by 66.

Moving on to step 1:
The number 66 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 66

On to step 2:
The number 66 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 66

Going ahead to step 3:
If we divide 409 by 66, we get 6 and a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 396 from 409 to get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 66

Step 4:
66 goes into 132 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 62.0
If we take 132 away from 132, we end up with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 66

Advancing to step 5:
If we divide 7 by 66, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 620.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 66

Step 6:
The number 66 fits into 71 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 6201.0
The remainder is 5 after subtracting 66 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
50 divided by 66 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6201.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 6201.07
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
The number 66 fits into 380 5 times, leaving a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6201.075
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
If we divide 500 by 66, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6201.0757
Subtract 462 from 500 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
66 goes into 380 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6201.07575
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
500 divided by 66 is 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 6201.075757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
380 divided by 66 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6201.0757575
If we take 330 away from 380, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
500 divided by 66 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6201.07575757
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final outcome is 6201.07575757, with a leftover of 3.8e-08.