We look at the division of 225165 by 59 
We're looking to find how many times 59 goes into 225165.

Advancing to step 1:
59 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 59

Going ahead to step 2:
59 can be fit into 22 0 times, resulting in a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 22 to get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 59

Going ahead to step 3:
59 can be fit into 225 3 times, resulting in a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 177 from 225 to get 48.
Bring next digit (1) of the dividend behind the 48 and repeat the process: 481 / 59

Going ahead to step 4:
59 can be fit into 481 8 times, resulting in a remainder of 9.
The next digit of our result is 8. 
Result so far: 38.0
Subtract 472 from 481 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 59

Advancing to step 5:
96 divided by 59 is 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 381.0
Subtracting 59 from 96 leaves us with 37.
Grab the next digit (5) from the dividend, add it to 37, then carry on: 375 / 59

Going ahead to step 6:
59 goes into 375 6 times with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 3816.0
Subtracting 354 from 375 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
210 divided by 59 is 3 with a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 3816.3
The remainder is 33 after subtracting 177 from 210.
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:
59 can be fit into 330 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 3816.35
If we take 295 away from 330, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
If we divide 350 by 59, we get 5 and a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 3816.355
If we take 295 away from 350, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 3816.355 with a remaining 0.0055.