We look at the division of 413113 by 66 
Our goal is to divide 413113 by 66.

On to step 1:
66 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 66

Moving on to step 2:
The number 66 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 66

On to step 3:
66 goes into 413 6 times with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 396 from 413 leaves us with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 66

Advancing to step 4:
The number 66 fits into 171 2 times, leaving a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we subtract 132 from 171, we get 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 66

Step 5:
66 can be fit into 391 5 times, resulting in a remainder of 61.
The next digit of our result is 5. 
Result so far: 625.0
If we take 330 away from 391, we end up with 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 66

Advancing to step 6:
66 goes into 613 9 times with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 6259.0
Deduct 594 from 613 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.

Advancing to step 7:
190 divided by 66 is 2 with a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 6259.2
Subtracting 132 from 190 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 8:
When dividing 580 by 66, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6259.28
Deduct 528 from 580 and we're left with 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:
When dividing 520 by 66, we get 7 with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 6259.287
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
When dividing 580 by 66, we get 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 6259.2878
If we subtract 528 from 580, we 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 11:
66 goes into 520 7 times with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 6259.28787
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.

Advancing to step 12:
The number 66 fits into 580 8 times, leaving a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 6259.287878
Deduct 528 from 580 and we're left with 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 13:
If we divide 520 by 66, we get 7 and a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 6259.2878787
Deduct 462 from 520 and we're left with 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:
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: 6259.28787878
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.

The final result is 6259.28787878 with a remainder of 5.2e-08.