We're dividing 436777 by 65 
We want to divide 436777 by 65.

Moving on to step 1:
4 divided by 65 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

Advancing to step 2:
65 goes into 43 0 times with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 65

On to step 3:
65 can be fit into 436 6 times, resulting in a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 46 after subtracting 390 from 436.
Fetch the next digit (7) from the dividend, attach it to 46 and continue: 467 / 65

Moving on to step 4:
467 divided by 65 is 7 with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Subtract 455 from 467 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 65

Advancing to step 5:
If we divide 127 by 65, we get 1 and a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
If we subtract 65 from 127, we get 62.
Append the next digit (7) from the dividend to 62 and continue with: 627 / 65

Moving on to step 6:
The number 65 fits into 627 9 times, leaving a remainder of 42.
The next digit of our result is 9. 
Result so far: 6719.0
Deduct 585 from 627 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
65 can be fit into 420 6 times, resulting in a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6719.6
If we subtract 390 from 420, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 6719.64
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6719.646
Deduct 390 from 400 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.

Going ahead to step 10:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6719.6461
Subtracting 65 from 100 leaves us 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.

Step 11:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 6719.64615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
250 divided by 65 is 3 with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 6719.646153
Subtracting 195 from 250 leaves us 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.

Let's proceed to step 13:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6719.6461538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
When dividing 300 by 65, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 6719.64615384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 6719.64615384 with a balance of 4e-08.