9396787 ÷ 300 
Our goal is to divide 9396787 by 300.

Going ahead to step 1:
When dividing 9 by 300, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 300

Step 2:
300 goes into 93 0 times with a remainder of 93.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 93, we end up with 93.
Grab the next digit (9) from the dividend, add it to 93, then carry on: 939 / 300

On to step 3:
The number 300 fits into 939 3 times, leaving a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 900 from 939 and we're left with 39.
Grab the next digit (6) from the dividend, add it to 39, then carry on: 396 / 300

Going ahead to step 4:
300 can be fit into 396 1 times, resulting in a remainder of 96.
The next digit of our result is 1. 
Result so far: 31.0
If we subtract 300 from 396, we get 96.
Bring next digit (7) of the dividend behind the 96 and repeat the process: 967 / 300

Moving on to step 5:
When dividing 967 by 300, we get 3 with a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 313.0
If we subtract 900 from 967, we get 67.
Bring next digit (8) of the dividend behind the 67 and repeat the process: 678 / 300

Advancing to step 6:
678 divided by 300 is 2 with a remainder of 78.
Use 2 as the next digit of our solution. 
Result so far: 3132.0
If we take 600 away from 678, we end up with 78.
Take the next digit (7) from the dividend and append it to 78, then repeat: 787 / 300

On to step 7:
The number 300 fits into 787 2 times, leaving a remainder of 187.
Put 2 as the next digit of the answer. 
Result so far: 31322.0
If we subtract 600 from 787, we get 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Advancing to step 8:
300 can be fit into 1870 6 times, resulting in a remainder of 70.
The next digit of our result is 6. 
Result so far: 31322.6
Deduct 1800 from 1870 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 9:
If we divide 700 by 300, we get 2 and a remainder of 100.
The number 2 becomes the next digit in our result. 
Result so far: 31322.62
If we subtract 600 from 700, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Going ahead to step 10:
When dividing 1000 by 300, we get 3 with a remainder of 100.
Write down 3 as next digit of the result. 
Result so far: 31322.623
The remainder is 100 after subtracting 900 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 11:
300 can be fit into 1000 3 times, resulting in a remainder of 100.
The number 3 becomes the next digit in our result. 
Result so far: 31322.6233
If we subtract 900 from 1000, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final result is 31322.6233 with a remainder of 0.001.