21913 ÷ 71 
Our goal is to divide 21913 by 71.

Going ahead to step 1:
The number 71 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 71

Moving on to step 2:
71 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 71

Step 3:
When dividing 219 by 71, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 213 from 219, we get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 71

Step 4:
71 goes into 61 0 times with a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 30.0
The remainder is 61 after subtracting 0 from 61.
Take the next digit (3) from the dividend and append it to 61, then repeat: 613 / 71

Advancing to step 5:
71 can be fit into 613 8 times, resulting in a remainder of 45.
The next digit of our result is 8. 
Result so far: 308.0
Deduct 568 from 613 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
When dividing 450 by 71, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 308.6
The remainder is 24 after subtracting 426 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
The number 71 fits into 240 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 308.63
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
71 goes into 270 3 times with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 308.633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 308.633 with a remaining 0.0057.