We're dividing 396768 by 35 
Let's see how many times 35 fits into 396768.

Step 1:
3 divided by 35 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 35

Advancing to step 2:
If we divide 39 by 35, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 35 from 39 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 35

Let's proceed to step 3:
If we divide 46 by 35, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 35 from 46 leaves us with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 35

Moving on to step 4:
35 goes into 117 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Subtract 105 from 117 to get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 35

Moving on to step 5:
35 can be fit into 126 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 1133.0
Deduct 105 from 126 and we're left with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 35

Advancing to step 6:
If we divide 218 by 35, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 11336.0
If we subtract 210 from 218, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 35, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 11336.2
Deduct 70 from 80 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 35, we get 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 11336.22
Deduct 70 from 100 and we're left 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.

Our division results in 11336.22 with a remaining 0.03.