We're dividing 472257 by 65 
We want to divide 472257 by 65.

Step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 65

On to step 2:
If we divide 47 by 65, we get 0 and a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Include the next digit (2) from the dividend after 47, then repeat: 472 / 65

Moving on to step 3:
The number 65 fits into 472 7 times, leaving a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 455 away from 472, we end up with 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 65

Let's proceed to step 4:
65 goes into 172 2 times with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
If we subtract 130 from 172, we get 42.
Fetch the next digit (5) from the dividend, attach it to 42 and continue: 425 / 65

Step 5:
65 can be fit into 425 6 times, resulting in a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 726.0
The remainder is 35 after subtracting 390 from 425.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 65

Moving on to step 6:
If we divide 357 by 65, we get 5 and a remainder of 32.
Write down 5 as next digit of the result. 
Result so far: 7265.0
Deduct 325 from 357 and we're left 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.

Moving on to step 7:
If we divide 320 by 65, we get 4 and a remainder of 60.
The number 4 becomes the next digit in our result. 
Result so far: 7265.4
Subtract 260 from 320 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
If we divide 600 by 65, we get 9 and a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 7265.49
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
65 goes into 150 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 7265.492
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
The number 65 fits into 200 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 7265.4923
Subtracting 195 from 200 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 7265.4923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 12:
500 divided by 65 is 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 7265.492307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 13:
65 goes into 450 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 7265.4923076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
When dividing 600 by 65, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 7265.49230769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 7265.49230769 with a balance of 1.5e-08.