We look at the division of 21876 by 45 
Let's see how many times 45 fits into 21876.

On to step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 45

Moving on to step 2:
45 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 45

On to step 3:
When dividing 218 by 45, we get 4 with a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 38 after subtracting 180 from 218.
Bring next digit (7) of the dividend behind the 38 and repeat the process: 387 / 45

Let's proceed to step 4:
The number 45 fits into 387 8 times, leaving a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 48.0
Deduct 360 from 387 and we're left with 27.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 45

Step 5:
45 goes into 276 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 486.0
The remainder is 6 after subtracting 270 from 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
If we divide 60 by 45, we get 1 and a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 486.1
Deduct 45 from 60 and we're left 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.

Going ahead to step 7:
The number 45 fits into 150 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 486.13
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
45 goes into 150 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 486.133
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 486.133 and a remainder of 0.0015.