We're dividing 433599 by 65 
We're looking to find how many times 65 goes into 433599.

Going ahead to step 1:
4 divided by 65 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

On to step 2:
65 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 65

Step 3:
When dividing 433 by 65, we get 6 with a remainder of 43.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 43 after subtracting 390 from 433.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 65

Advancing to step 4:
65 goes into 435 6 times with a remainder of 45.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtract 390 from 435 to get 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 65

Let's proceed to step 5:
65 goes into 459 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 667.0
The remainder is 4 after subtracting 455 from 459.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 65

Let's proceed to step 6:
The number 65 fits into 49 0 times, leaving a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 6670.0
If we subtract 0 from 49, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
The number 65 fits into 490 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 6670.7
If we subtract 455 from 490, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
65 goes into 350 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6670.75
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
65 goes into 250 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 6670.753
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 10:
If we divide 550 by 65, we get 8 and a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6670.7538
Subtract 520 from 550 to 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.

Step 11:
300 divided by 65 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6670.75384
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.

Let's proceed to step 12:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6670.753846
If we take 390 away from 400, we end up 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.

Moving on to step 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 6670.7538461
Deduct 65 from 100 and we're left 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 14:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6670.75384615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 6670.75384615 with a remainder of 2.5e-08.