We're dividing 9097370 by 308 
We're looking to find how many times 308 goes into 9097370.

Going ahead to step 1:
If we divide 9 by 308, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 308

On to step 2:
If we divide 90 by 308, we get 0 and a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 90, we end up with 90.
Fetch the next digit (9) from the dividend, attach it to 90 and continue: 909 / 308

Step 3:
308 goes into 909 2 times with a remainder of 293.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 616 from 909 to get 293.
Take the next digit (7) from the dividend and append it to 293, then repeat: 2937 / 308

Going ahead to step 4:
When dividing 2937 by 308, we get 9 with a remainder of 165.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
The remainder is 165 after subtracting 2772 from 2937.
Append the next digit (3) from the dividend to 165 and continue with: 1653 / 308

Let's proceed to step 5:
If we divide 1653 by 308, we get 5 and a remainder of 113.
Use 5 as the next digit of our solution. 
Result so far: 295.0
If we subtract 1540 from 1653, we get 113.
Include the next digit (7) from the dividend after 113, then repeat: 1137 / 308

Going ahead to step 6:
If we divide 1137 by 308, we get 3 and a remainder of 213.
Put 3 as the next digit of the answer. 
Result so far: 2953.0
If we take 924 away from 1137, we end up with 213.
Include the next digit (0) from the dividend after 213, then repeat: 2130 / 308

On to step 7:
2130 divided by 308 is 6 with a remainder of 282.
Record the quotient 6 as the next digit in the result. 
Result so far: 29536.0
If we subtract 1848 from 2130, we get 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Let's proceed to step 8:
308 goes into 2820 9 times with a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 29536.9
Subtract 2772 from 2820 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 9:
If we divide 480 by 308, we get 1 and a remainder of 172.
Use 1 as the next digit of our solution. 
Result so far: 29536.91
Deduct 308 from 480 and we're left with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Moving on to step 10:
308 goes into 1720 5 times with a remainder of 180.
Record the quotient 5 as the next digit in the result. 
Result so far: 29536.915
If we subtract 1540 from 1720, we get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

On to step 11:
If we divide 1800 by 308, we get 5 and a remainder of 260.
Put 5 as the next digit of the answer. 
Result so far: 29536.9155
Deduct 1540 from 1800 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

In conclusion, the division gives 29536.9155 with a balance of 0.0026.