We're dividing 877644 by 27 
We want to figure out the number of times 877644 can be divided by 27.

On to step 1:
If we divide 8 by 27, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 27

Step 2:
87 divided by 27 is 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 81 away from 87, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 27

Moving on to step 3:
27 can be fit into 67 2 times, resulting in a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Subtract 54 from 67 to get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 27

Step 4:
27 goes into 136 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 325.0
Deduct 135 from 136 and we're left with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 27

Let's proceed to step 5:
When dividing 14 by 27, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 3250.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 27

Step 6:
The number 27 fits into 144 5 times, leaving a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 32505.0
The remainder is 9 after subtracting 135 from 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
27 goes into 90 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 32505.3
Subtract 81 from 90 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 27 fits into 90 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 32505.33
Deduct 81 from 90 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 32505.33 with a balance of 0.009.