Let's divide 1127 by 21
Let's see how many times 21 fits into 1127.

Moving on to step 1:
If we divide 1 by 21, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
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 / 21

Step 2:
If we divide 11 by 21, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 21

On to step 3:
When dividing 112 by 21, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 105 from 112 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 21

Advancing to step 4:
When dividing 77 by 21, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we take 63 away from 77, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 5:
21 can be fit into 140 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 53.6
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
The number 21 fits into 140 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 53.66
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 53.66 with a remainder of 0.014.