We look at the division of 217902 by 52 
We want to figure out the number of times 217902 can be divided by 52.

On to step 1:
52 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 52

Advancing to step 2:
52 can be fit into 21 0 times, resulting in a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 52

Moving on to step 3:
52 goes into 217 4 times with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 208 from 217 to get 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 52

Step 4:
The number 52 fits into 99 1 times, leaving a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 41.0
Subtract 52 from 99 to get 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 52

On to step 5:
If we divide 470 by 52, we get 9 and a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 419.0
The remainder is 2 after subtracting 468 from 470.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 52

On to step 6:
52 goes into 22 0 times with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 4190.0
Subtract 0 from 22 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
52 can be fit into 220 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 4190.4
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
If we divide 120 by 52, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 4190.42
If we subtract 104 from 120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
52 can be fit into 160 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 4190.423
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
If we divide 40 by 52, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4190.423
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
The number 52 fits into 400 7 times, leaving a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 4190.42307
The remainder is 36 after subtracting 364 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
The number 52 fits into 360 6 times, leaving a remainder of 48.
The next digit of our result is 6. 
Result so far: 4190.423076
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
When dividing 480 by 52, we get 9 with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 4190.4230769
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
52 goes into 120 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 4190.42307692
Subtracting 104 from 120 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.

After the division, we end up with 4190.42307692 and a remainder of 1.6e-08.