We look at the division of 57770 by 90 
We're looking to find how many times 90 goes into 57770.

Let's proceed to step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 90

Moving on to step 2:
If we divide 57 by 90, we get 0 and a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Bring next digit (7) of the dividend behind the 57 and repeat the process: 577 / 90

Advancing to step 3:
90 can be fit into 577 6 times, resulting in a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 540 from 577 leaves us with 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 90

Going ahead to step 4:
90 can be fit into 377 4 times, resulting in a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtract 360 from 377 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 90

Step 5:
The number 90 fits into 170 1 times, leaving a remainder of 80.
The number 1 becomes the next digit in our result. 
Result so far: 641.0
If we subtract 90 from 170, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 6:
90 can be fit into 800 8 times, resulting in a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 641.8
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 7:
If we divide 800 by 90, we get 8 and a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 641.88
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The quotient of the division is 641.88, and the remainder is 0.08.