419709 divided by 27 
We want to figure out the number of times 419709 can be divided by 27.

Going ahead to step 1:
When dividing 4 by 27, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 27

Going ahead to step 2:
41 divided by 27 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 27 from 41 leaves us with 14.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 27

Step 3:
27 goes into 149 5 times with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 135 from 149 leaves us with 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 27

On to step 4:
The number 27 fits into 147 5 times, leaving a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 155.0
If we subtract 135 from 147, we get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 27

Moving on to step 5:
If we divide 120 by 27, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 1554.0
If we subtract 108 from 120, we get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 27

Advancing to step 6:
27 goes into 129 4 times with a remainder of 21.
The next digit of our result is 4. 
Result so far: 15544.0
Deduct 108 from 129 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
If we divide 210 by 27, we get 7 and a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 15544.7
Subtract 189 from 210 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
210 divided by 27 is 7 with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 15544.77
Deduct 189 from 210 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 15544.77 with a remainder of 0.021.