419514 ÷ 66 
Our goal is to divide 419514 by 66.

Going ahead to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 66

Going ahead 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
Deduct 0 from 41 and we're left with 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 66

Going ahead to step 3:
When dividing 419 by 66, we get 6 with a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 396 from 419 to get 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 66

Step 4:
66 can be fit into 235 3 times, resulting in a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we take 198 away from 235, we end up with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 66

Step 5:
371 divided by 66 is 5 with a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 635.0
If we subtract 330 from 371, we get 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 66

Moving on to step 6:
If we divide 414 by 66, we get 6 and a remainder of 18.
The next digit of our result is 6. 
Result so far: 6356.0
Subtracting 396 from 414 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
66 can be fit into 180 2 times, resulting in a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 6356.2
The remainder is 48 after subtracting 132 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
The number 66 fits into 480 7 times, leaving a remainder of 18.
The next digit of our result is 7. 
Result so far: 6356.27
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
The number 66 fits into 180 2 times, leaving a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 6356.272
The remainder is 48 after subtracting 132 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
480 divided by 66 is 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 6356.2727
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
66 goes into 180 2 times with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 6356.27272
Subtract 132 from 180 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
If we divide 480 by 66, we get 7 and a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 6356.272727
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 13:
If we divide 180 by 66, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 6356.2727272
Deduct 132 from 180 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 14:
The number 66 fits into 480 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 6356.27272727
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 6356.27272727, with a leftover of 1.8e-08.