We look at the division of 75677 by 27 
Our goal is to divide 75677 by 27.

Step 1:
If we divide 7 by 27, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 27

Advancing to step 2:
If we divide 75 by 27, we get 2 and a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 54 away from 75, we end up with 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 27

Advancing to step 3:
216 divided by 27 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 28.0
The remainder is 0 after subtracting 216 from 216.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 27

Moving on to step 4:
The number 27 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 280.0
If we subtract 0 from 7, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 27

Moving on to step 5:
77 divided by 27 is 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 2802.0
Deduct 54 from 77 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 6:
27 can be fit into 230 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 2802.8
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 27 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 2802.85
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
27 can be fit into 50 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 2802.851
Subtract 27 from 50 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
The number 27 fits into 230 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 2802.8518
Deduct 216 from 230 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
The number 27 fits into 140 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2802.85185
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
If we divide 50 by 27, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 2802.851851
Deduct 27 from 50 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 12:
If we divide 230 by 27, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 2802.8518518
Deduct 216 from 230 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
27 goes into 140 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2802.85185185
Subtracting 135 from 140 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 2802.85185185, with a leftover of 5e-09.