We're dividing 97583768 by 300 
We're looking to find how many times 300 goes into 97583768.

Advancing to step 1:
When dividing 9 by 300, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 300

Advancing to step 2:
97 divided by 300 is 0 with a remainder of 97.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 97 leaves us with 97.
Grab the next digit (5) from the dividend, add it to 97, then carry on: 975 / 300

On to step 3:
300 goes into 975 3 times with a remainder of 75.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 900 from 975 and we're left with 75.
Fetch the next digit (8) from the dividend, attach it to 75 and continue: 758 / 300

On to step 4:
The number 300 fits into 758 2 times, leaving a remainder of 158.
Use 2 as the next digit of our solution. 
Result so far: 32.0
The remainder is 158 after subtracting 600 from 758.
Bring next digit (3) of the dividend behind the 158 and repeat the process: 1583 / 300

Let's proceed to step 5:
300 can be fit into 1583 5 times, resulting in a remainder of 83.
Write down 5 as next digit of the result. 
Result so far: 325.0
Subtract 1500 from 1583 to get 83.
Take the next digit (7) from the dividend and append it to 83, then repeat: 837 / 300

On to step 6:
The number 300 fits into 837 2 times, leaving a remainder of 237.
The number 2 becomes the next digit in our result. 
Result so far: 3252.0
Deduct 600 from 837 and we're left with 237.
Bring next digit (6) of the dividend behind the 237 and repeat the process: 2376 / 300

Going ahead to step 7:
The number 300 fits into 2376 7 times, leaving a remainder of 276.
The next digit of our result is 7. 
Result so far: 32527.0
Deduct 2100 from 2376 and we're left with 276.
Fetch the next digit (8) from the dividend, attach it to 276 and continue: 2768 / 300

On to step 8:
2768 divided by 300 is 9 with a remainder of 68.
Record the quotient 9 as the next digit in the result. 
Result so far: 325279.0
Subtract 2700 from 2768 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
300 can be fit into 680 2 times, resulting in a remainder of 80.
The number 2 becomes the next digit in our result. 
Result so far: 325279.2
The remainder is 80 after subtracting 600 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
The number 300 fits into 800 2 times, leaving a remainder of 200.
Use 2 as the next digit of our solution. 
Result so far: 325279.22
Subtracting 600 from 800 leaves us with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 325279.22 with a balance of 0.2.