We're dividing 21644 by 43 
We want to divide 21644 by 43.

Let's proceed to step 1:
43 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 43

On to step 2:
When dividing 21 by 43, we get 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 43

Step 3:
If we divide 216 by 43, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 215 from 216 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 43

Moving on to step 4:
If we divide 14 by 43, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
The remainder is 14 after subtracting 0 from 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 43

Moving on to step 5:
If we divide 144 by 43, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 503.0
The remainder is 15 after subtracting 129 from 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 6:
43 can be fit into 150 3 times, resulting in a remainder of 21.
The next digit of our result is 3. 
Result so far: 503.3
If we subtract 129 from 150, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
If we divide 210 by 43, we get 4 and a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 503.34
If we subtract 172 from 210, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
43 goes into 380 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 503.348
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
If we divide 360 by 43, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 503.3488
Subtracting 344 from 360 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 503.3488 with a remaining 0.00016.