We look at the division of 225297 by 51 
We want to divide 225297 by 51.

On to step 1:
When dividing 2 by 51, we get 0 with 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.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 51

Going ahead to step 2:
When dividing 22 by 51, we get 0 with a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 51

Step 3:
51 goes into 225 4 times with a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 204 from 225, we get 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 51

On to step 4:
When dividing 212 by 51, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Subtract 204 from 212 to get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 51

Advancing to step 5:
The number 51 fits into 89 1 times, leaving a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 441.0
Subtracting 51 from 89 leaves us with 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 51

On to step 6:
When dividing 387 by 51, we get 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 4417.0
Deduct 357 from 387 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
300 divided by 51 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 4417.5
If we take 255 away from 300, we end up 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.

Going ahead to step 8:
If we divide 450 by 51, we get 8 and a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 4417.58
The remainder is 42 after subtracting 408 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
The number 51 fits into 420 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 4417.588
Subtracting 408 from 420 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 4417.588 with a remainder of 0.0012.