We're dividing 414853 by 66 
Our goal is to divide 414853 by 66.

Let's proceed 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
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 66

Moving on to step 2:
When dividing 41 by 66, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 66

Going ahead to step 3:
When dividing 414 by 66, we get 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 396 from 414 leaves us with 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 66

Advancing to step 4:
If we divide 188 by 66, we get 2 and a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtracting 132 from 188 leaves us with 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 66

Going ahead to step 5:
66 goes into 565 8 times with a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 628.0
Subtracting 528 from 565 leaves us with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 66

Step 6:
373 divided by 66 is 5 with a remainder of 43.
Write down 5 as next digit of the result. 
Result so far: 6285.0
Deduct 330 from 373 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
66 can be fit into 430 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 6285.6
If we subtract 396 from 430, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
66 can be fit into 340 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6285.65
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 66 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 6285.651
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
When dividing 340 by 66, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6285.6515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
When dividing 100 by 66, we get 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 6285.65151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
340 divided by 66 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6285.651515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
If we divide 100 by 66, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 6285.6515151
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
If we divide 340 by 66, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6285.65151515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6285.65151515 with a balance of 1e-08.