We look at the division of 419155 by 66 
We're looking to find how many times 66 goes into 419155.

On to step 1:
4 divided by 66 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 66

Let's proceed to step 2:
66 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 66

Moving on to step 3:
419 divided by 66 is 6 with a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 23 after subtracting 396 from 419.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 66

Advancing to step 4:
The number 66 fits into 231 3 times, leaving a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
The remainder is 33 after subtracting 198 from 231.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 66

Advancing to step 5:
The number 66 fits into 335 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 635.0
If we take 330 away from 335, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 66

Going ahead to step 6:
When dividing 55 by 66, we get 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 6350.0
Subtract 0 from 55 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
If we divide 550 by 66, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 6350.8
If we take 528 away from 550, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 66 fits into 220 3 times, leaving a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 6350.83
If we subtract 198 from 220, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
220 divided by 66 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 6350.833
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 6350.833 with a remainder of 0.0022.