We look at the division of 626289 by 27 
We're looking to find how many times 27 goes into 626289.

Going ahead to step 1:
If we divide 6 by 27, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 27

Moving on to step 2:
62 divided by 27 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 54 away from 62, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 27

Advancing to step 3:
If we divide 86 by 27, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 23.0
Subtracting 81 from 86 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 27

Let's proceed to step 4:
27 can be fit into 52 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 231.0
The remainder is 25 after subtracting 27 from 52.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 27

Moving on to step 5:
When dividing 258 by 27, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2319.0
Deduct 243 from 258 and we're left with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 27

On to step 6:
159 divided by 27 is 5 with a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 23195.0
If we subtract 135 from 159, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
If we divide 240 by 27, we get 8 and a remainder of 24.
The next digit of our result is 8. 
Result so far: 23195.8
Deduct 216 from 240 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
The number 27 fits into 240 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 23195.88
Subtracting 216 from 240 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 23195.88, and the remainder is 0.024.