We're dividing 289581 by 27 
Our goal is to divide 289581 by 27.

Advancing to step 1:
When dividing 2 by 27, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 27

Moving on to step 2:
When dividing 28 by 27, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 27 from 28 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 27

Advancing to step 3:
If we divide 19 by 27, we get 0 and a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 19, we end up with 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 27

On to step 4:
195 divided by 27 is 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
Subtracting 189 from 195 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 27

Moving on to step 5:
If we divide 68 by 27, we get 2 and a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 1072.0
The remainder is 14 after subtracting 54 from 68.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 27

On to step 6:
When dividing 141 by 27, we get 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 10725.0
Subtract 135 from 141 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
60 divided by 27 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 10725.2
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 27 fits into 60 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 10725.22
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 10725.22, and the remainder is 0.006.