We're dividing 657669 by 27 
Let's see how many times 27 fits into 657669.

Moving on to step 1:
When dividing 6 by 27, we get 0 with 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 (5) from the dividend to 6 and continue with: 65 / 27

Going ahead to step 2:
If we divide 65 by 27, we get 2 and a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 54 from 65 to get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 27

On to step 3:
27 can be fit into 117 4 times, resulting in a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Deduct 108 from 117 and we're left with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 27

Let's proceed to step 4:
The number 27 fits into 96 3 times, leaving a remainder of 15.
The next digit of our result is 3. 
Result so far: 243.0
If we subtract 81 from 96, we get 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 27

On to step 5:
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: 2435.0
If we subtract 135 from 156, we get 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 27

Going ahead to step 6:
27 can be fit into 219 8 times, resulting in a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 24358.0
If we take 216 away from 219, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 27 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 24358.1
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
When dividing 30 by 27, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 24358.11
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 24358.11, and the remainder is 0.003.