We're dividing 409087 by 66 
We're looking to find how many times 66 goes into 409087.

On to step 1:
66 can be fit into 4 0 times, resulting in 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.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 66

Moving on to step 2:
If we divide 40 by 66, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 66

Advancing to step 3:
If we divide 409 by 66, we get 6 and a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 396 from 409 and we're left with 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 66

On to step 4:
The number 66 fits into 130 1 times, leaving a remainder of 64.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 66 from 130 leaves us with 64.
Take the next digit (8) from the dividend and append it to 64, then repeat: 648 / 66

Advancing to step 5:
66 can be fit into 648 9 times, resulting in a remainder of 54.
Put 9 as the next digit of the answer. 
Result so far: 619.0
The remainder is 54 after subtracting 594 from 648.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 66

Let's proceed to step 6:
66 can be fit into 547 8 times, resulting in a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 6198.0
Deduct 528 from 547 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
The number 66 fits into 190 2 times, leaving a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 6198.2
If we subtract 132 from 190, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
580 divided by 66 is 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 6198.28
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
The number 66 fits into 520 7 times, leaving a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 6198.287
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 10:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6198.2878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
If we divide 520 by 66, we get 7 and a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 6198.28787
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 12:
When dividing 580 by 66, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 6198.287878
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 13:
The number 66 fits into 520 7 times, leaving a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 6198.2878787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 14:
When dividing 580 by 66, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 6198.28787878
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 6198.28787878 with a balance of 5.2e-08.