We're dividing 43665 by 649 
We want to divide 43665 by 649.

Going ahead to step 1:
If we divide 4 by 649, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 649

Advancing to step 2:
The number 649 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 649

Step 3:
649 can be fit into 436 0 times, resulting in a remainder of 436.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 436 after subtracting 0 from 436.
Bring next digit (6) of the dividend behind the 436 and repeat the process: 4366 / 649

Step 4:
4366 divided by 649 is 6 with a remainder of 472.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 3894 from 4366 leaves us with 472.
Append the next digit (5) from the dividend to 472 and continue with: 4725 / 649

Advancing to step 5:
If we divide 4725 by 649, we get 7 and a remainder of 182.
The next digit of our result is 7. 
Result so far: 67.0
Deduct 4543 from 4725 and we're left with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

On to step 6:
If we divide 1820 by 649, we get 2 and a remainder of 522.
Use 2 as the next digit of our solution. 
Result so far: 67.2
The remainder is 522 after subtracting 1298 from 1820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

Let's proceed to step 7:
The number 649 fits into 5220 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 67.28
The remainder is 28 after subtracting 5192 from 5220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
649 goes into 280 0 times with a remainder of 280.
Record the quotient 0 as the next digit in the result. 
Result so far: 67.28
Subtracting 0 from 280 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 9:
649 can be fit into 2800 4 times, resulting in a remainder of 204.
Record the quotient 4 as the next digit in the result. 
Result so far: 67.2804
If we take 2596 away from 2800, we end up with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

On to step 10:
When dividing 2040 by 649, we get 3 with a remainder of 93.
The number 3 becomes the next digit in our result. 
Result so far: 67.28043
The remainder is 93 after subtracting 1947 from 2040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Moving on to step 11:
If we divide 930 by 649, we get 1 and a remainder of 281.
Use 1 as the next digit of our solution. 
Result so far: 67.280431
The remainder is 281 after subtracting 649 from 930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Going ahead to step 12:
When dividing 2810 by 649, we get 4 with a remainder of 214.
Record the quotient 4 as the next digit in the result. 
Result so far: 67.2804314
If we take 2596 away from 2810, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Moving on to step 13:
649 can be fit into 2140 3 times, resulting in a remainder of 193.
The next digit of our result is 3. 
Result so far: 67.28043143
Subtracting 1947 from 2140 leaves us with 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

In conclusion, the division gives 67.28043143 with a balance of 1.93e-07.