We look at the division of 57769 by 97 
Our goal is to divide 57769 by 97.

Let's proceed to step 1:
The number 97 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 97

Advancing to step 2:
The number 97 fits into 57 0 times, leaving a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Include the next digit (7) from the dividend after 57, then repeat: 577 / 97

On to step 3:
97 goes into 577 5 times with a remainder of 92.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 485 from 577, we get 92.
Take the next digit (6) from the dividend and append it to 92, then repeat: 926 / 97

Step 4:
The number 97 fits into 926 9 times, leaving a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 59.0
The remainder is 53 after subtracting 873 from 926.
Bring next digit (9) of the dividend behind the 53 and repeat the process: 539 / 97

Let's proceed to step 5:
539 divided by 97 is 5 with a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 595.0
If we subtract 485 from 539, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 6:
97 goes into 540 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 595.5
Deduct 485 from 540 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
When dividing 550 by 97, we get 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 595.55
If we take 485 away from 550, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The quotient of the division is 595.55, and the remainder is 0.065.