We're dividing 825 by 11 
Let's see how many times 11 fits into 825.

Going ahead to step 1:
The number 11 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 11

On to step 2:
When dividing 82 by 11, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 5 after subtracting 77 from 82.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 11

Going ahead to step 3:
55 divided by 11 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 75.0
If we take 55 away from 55, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 4:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 75.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 5:
If we divide 0 by 11, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 75.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 75.0 and a remainder of 0.0.