We're dividing 11299 by 3 
Let's see how many times 3 fits into 11299.

Advancing to step 1:
3 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

On to step 2:
When dividing 11 by 3, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 2 after subtracting 9 from 11.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Let's proceed to step 3:
If we divide 22 by 3, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 37.0
The remainder is 1 after subtracting 21 from 22.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Let's proceed to step 4:
3 goes into 19 6 times with a remainder of 1.
The next digit of our result is 6. 
Result so far: 376.0
If we subtract 18 from 19, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 3

Step 5:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 3766.0
Subtract 18 from 19 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3766.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
3 goes into 10 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3766.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 3766.33, and the remainder is 0.001.