We look at the division of 25221 by 47 
We want to figure out the number of times 25221 can be divided by 47.

Step 1:
47 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 47

On to step 2:
When dividing 25 by 47, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 47

Moving on to step 3:
47 goes into 252 5 times with a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 235 from 252 and we're left with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 47

Going ahead to step 4:
172 divided by 47 is 3 with a remainder of 31.
The next digit of our result is 3. 
Result so far: 53.0
If we subtract 141 from 172, we get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 47

Advancing to step 5:
47 can be fit into 311 6 times, resulting in a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 536.0
Subtract 282 from 311 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 6:
When dividing 290 by 47, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 536.6
Subtract 282 from 290 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
47 can be fit into 80 1 times, resulting in a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 536.61
If we take 47 away from 80, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
When dividing 330 by 47, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 536.617
If we subtract 329 from 330, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
47 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 536.617
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
47 can be fit into 100 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 536.61702
If we subtract 94 from 100, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
60 divided by 47 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 536.617021
If we subtract 47 from 60, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
When dividing 130 by 47, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 536.6170212
If we take 94 away from 130, we end up 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.

Advancing to step 13:
360 divided by 47 is 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 536.61702127
If we subtract 329 from 360, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 536.61702127 with a remainder of 3.1e-08.