We divide 21717 by 52
We're looking to find how many times 52 goes into 21717.

Step 1:
When dividing 2 by 52, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 52

Going ahead to step 2:
52 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 52

On to step 3:
52 can be fit into 217 4 times, resulting in a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 208 away from 217, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 52

Step 4:
52 goes into 91 1 times with a remainder of 39.
The next digit of our result is 1. 
Result so far: 41.0
If we subtract 52 from 91, we get 39.
Bring next digit (7) of the dividend behind the 39 and repeat the process: 397 / 52

Moving on to step 5:
The number 52 fits into 397 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 417.0
If we subtract 364 from 397, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 6:
When dividing 330 by 52, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 417.6
Subtracting 312 from 330 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
180 divided by 52 is 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 417.63
Subtracting 156 from 180 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
52 goes into 240 4 times with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 417.634
Subtracting 208 from 240 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
The number 52 fits into 320 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 417.6346
The remainder is 8 after subtracting 312 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
The number 52 fits into 80 1 times, leaving a remainder of 28.
The next digit of our result is 1. 
Result so far: 417.63461
The remainder is 28 after subtracting 52 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
When dividing 280 by 52, we get 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 417.634615
Subtracting 260 from 280 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
52 can be fit into 200 3 times, resulting in a remainder of 44.
The next digit of our result is 3. 
Result so far: 417.6346153
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
52 goes into 440 8 times with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 417.63461538
Subtracting 416 from 440 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 417.63461538 and a remainder of 2.4e-08.