We're dividing 414876 by 27 
We're looking to find how many times 27 goes into 414876.

Moving on to step 1:
27 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 27

On to step 2:
When dividing 41 by 27, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 27 from 41 to get 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 27

On to step 3:
144 divided by 27 is 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 135 from 144 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 27

Advancing to step 4:
98 divided by 27 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 153.0
Subtracting 81 from 98 leaves us with 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 27

On to step 5:
When dividing 177 by 27, we get 6 with a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 1536.0
If we take 162 away from 177, we end up with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 27

Advancing to step 6:
27 can be fit into 156 5 times, resulting in a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 15365.0
Subtracting 135 from 156 leaves us 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.

Let's proceed to step 7:
27 goes into 210 7 times with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 15365.7
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.

Moving on to step 8:
27 goes into 210 7 times with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 15365.77
The remainder is 21 after subtracting 189 from 210.
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 outcome is 15365.77, with a leftover of 0.021.