We're dividing 11280 by 35 
Our goal is to divide 11280 by 35.

Let's proceed to step 1:
If we divide 1 by 35, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 35

On to step 2:
If we divide 11 by 35, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 35

Going ahead to step 3:
35 goes into 112 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 105 away from 112, we end up with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 35

Advancing to step 4:
When dividing 78 by 35, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
The remainder is 8 after subtracting 70 from 78.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 35

On to step 5:
35 can be fit into 80 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 322.0
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 6:
35 goes into 100 2 times with a remainder of 30.
The next digit of our result is 2. 
Result so far: 322.2
Subtracting 70 from 100 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.

Going ahead to step 7:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 322.28
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 322.285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 322.2857
If we take 245 away from 250, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
50 divided by 35 is 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 322.28571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 322.285714
Subtracting 140 from 150 leaves us 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.

Advancing to step 12:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 322.2857142
Subtracting 70 from 100 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 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 322.28571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 322.28571428 with a remainder of 2e-08.