97757 ÷ 31 
We're looking to find how many times 31 goes into 97757.

Let's proceed to step 1:
9 divided by 31 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 31

On to step 2:
31 goes into 97 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 93 from 97 to get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 31

Going ahead to step 3:
31 can be fit into 47 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Deduct 31 from 47 and we're left with 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 31

Going ahead to step 4:
31 can be fit into 165 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 315.0
Subtract 155 from 165 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 31

Step 5:
31 goes into 107 3 times with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3153.0
Subtracting 93 from 107 leaves us 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.

Going ahead to step 6:
When dividing 140 by 31, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 3153.4
Subtract 124 from 140 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
160 divided by 31 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 3153.45
The remainder is 5 after subtracting 155 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
31 goes into 50 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 3153.451
The remainder is 19 after subtracting 31 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
If we divide 190 by 31, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 3153.4516
Deduct 186 from 190 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
31 can be fit into 40 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3153.45161
If we subtract 31 from 40, we 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.

Step 11:
31 goes into 90 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 3153.451612
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
280 divided by 31 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 3153.4516129
If we subtract 279 from 280, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
If we divide 10 by 31, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3153.4516129
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 3153.4516129 with a remainder of 1e-08.