We're dividing 2118127 by 825 
We want to divide 2118127 by 825.

Going ahead to step 1:
2 divided by 825 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 825

Let's proceed to step 2:
21 divided by 825 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 825

Moving on to step 3:
211 divided by 825 is 0 with a remainder of 211.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 211 and we're left with 211.
Include the next digit (8) from the dividend after 211, then repeat: 2118 / 825

Let's proceed to step 4:
825 goes into 2118 2 times with a remainder of 468.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 1650 from 2118 leaves us with 468.
Bring next digit (1) of the dividend behind the 468 and repeat the process: 4681 / 825

Moving on to step 5:
When dividing 4681 by 825, we get 5 with a remainder of 556.
Use 5 as the next digit of our solution. 
Result so far: 25.0
The remainder is 556 after subtracting 4125 from 4681.
Append the next digit (2) from the dividend to 556 and continue with: 5562 / 825

On to step 6:
5562 divided by 825 is 6 with a remainder of 612.
The next digit of our result is 6. 
Result so far: 256.0
If we take 4950 away from 5562, we end up with 612.
Append the next digit (7) from the dividend to 612 and continue with: 6127 / 825

Let's proceed to step 7:
825 can be fit into 6127 7 times, resulting in a remainder of 352.
The number 7 becomes the next digit in our result. 
Result so far: 2567.0
If we take 5775 away from 6127, we end up with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Advancing to step 8:
When dividing 3520 by 825, we get 4 with a remainder of 220.
Write down 4 as next digit of the result. 
Result so far: 2567.4
If we subtract 3300 from 3520, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

On to step 9:
If we divide 2200 by 825, we get 2 and a remainder of 550.
The next digit of our result is 2. 
Result so far: 2567.42
Subtract 1650 from 2200 to get 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

On to step 10:
5500 divided by 825 is 6 with a remainder of 550.
Put 6 as the next digit of the answer. 
Result so far: 2567.426
If we take 4950 away from 5500, we end up with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Advancing to step 11:
The number 825 fits into 5500 6 times, leaving a remainder of 550.
Put 6 as the next digit of the answer. 
Result so far: 2567.4266
Subtract 4950 from 5500 to get 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

The quotient of the division is 2567.4266, and the remainder is 0.0055.