508641 ÷ 27 
We want to figure out the number of times 508641 can be divided by 27.

Going ahead to step 1:
If we divide 5 by 27, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 27

On to step 2:
50 divided by 27 is 1 with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 27 from 50 to get 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 27

Advancing to step 3:
The number 27 fits into 238 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 18.0
The remainder is 22 after subtracting 216 from 238.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 27

Let's proceed to step 4:
27 goes into 226 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 188.0
Subtract 216 from 226 to get 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 27

Advancing to step 5:
The number 27 fits into 104 3 times, leaving a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 1883.0
Subtract 81 from 104 to get 23.
Include the next digit (1) from the dividend after 23, then repeat: 231 / 27

Advancing to step 6:
27 can be fit into 231 8 times, resulting in a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 18838.0
Subtract 216 from 231 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 27 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 18838.5
Deduct 135 from 150 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
27 goes into 150 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 18838.55
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 18838.55, with a leftover of 0.015.