We're dividing 76727 by 90 
Let's see how many times 90 fits into 76727.

Moving on to step 1:
If we divide 7 by 90, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 90

On to step 2:
When dividing 76 by 90, we get 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Append the next digit (7) from the dividend to 76 and continue with: 767 / 90

Step 3:
If we divide 767 by 90, we get 8 and a remainder of 47.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 720 from 767 leaves us with 47.
Grab the next digit (2) from the dividend, add it to 47, then carry on: 472 / 90

Going ahead to step 4:
90 goes into 472 5 times with a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtracting 450 from 472 leaves us with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 90

Moving on to step 5:
90 can be fit into 227 2 times, resulting in a remainder of 47.
Use 2 as the next digit of our solution. 
Result so far: 852.0
Deduct 180 from 227 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 6:
When dividing 470 by 90, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 852.5
Subtracting 450 from 470 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
90 goes into 200 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 852.52
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 90 fits into 200 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 852.522
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 852.522, and the remainder is 0.002.