We look at the division of 300366 by 35 
Our goal is to divide 300366 by 35.

Step 1:
3 divided by 35 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 35

Let's proceed to step 2:
30 divided by 35 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 35

Advancing to step 3:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 280 from 300 to get 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 35

Step 4:
35 goes into 203 5 times with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 85.0
Deduct 175 from 203 and we're left with 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 35

Going ahead to step 5:
The number 35 fits into 286 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 858.0
If we subtract 280 from 286, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 35

Step 6:
35 can be fit into 66 1 times, resulting in a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 8581.0
If we take 35 away from 66, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
The number 35 fits into 310 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8581.8
Subtracting 280 from 310 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
When dividing 300 by 35, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 8581.88
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 8581.88 and a remainder of 0.02.