Let's divide 477732 by 65
We're looking to find how many times 65 goes into 477732.

Step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 65

Step 2:
If we divide 47 by 65, we get 0 and a remainder of 47.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 47 after subtracting 0 from 47.
Append the next digit (7) from the dividend to 47 and continue with: 477 / 65

Step 3:
65 can be fit into 477 7 times, resulting in a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 455 from 477 leaves us with 22.
Grab the next digit (7) from the dividend, add it to 22, then carry on: 227 / 65

Moving on to step 4:
If we divide 227 by 65, we get 3 and a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we subtract 195 from 227, we get 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 65

Moving on to step 5:
When dividing 323 by 65, we get 4 with a remainder of 63.
Use 4 as the next digit of our solution. 
Result so far: 734.0
If we take 260 away from 323, we end up with 63.
Include the next digit (2) from the dividend after 63, then repeat: 632 / 65

Moving on to step 6:
When dividing 632 by 65, we get 9 with a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 7349.0
The remainder is 47 after subtracting 585 from 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
470 divided by 65 is 7 with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 7349.7
Subtracting 455 from 470 leaves us 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.

Step 8:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 7349.72
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 7349.723
If we take 195 away from 200, we end up 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.

Advancing to step 10:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7349.723
Subtract 0 from 50 to 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.

Advancing to step 11:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 7349.72307
Deduct 455 from 500 and we're left 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.

Advancing to step 12:
65 goes into 450 6 times with a remainder of 60.
The next digit of our result is 6. 
Result so far: 7349.723076
Deduct 390 from 450 and we're left 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 13:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 7349.7230769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 7349.72307692
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 7349.72307692 with a balance of 2e-08.