We're dividing 437991 by 65 
Our goal is to divide 437991 by 65.

Moving on to 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
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 65

Going ahead to step 2:
65 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 65

Let's proceed to step 3:
437 divided by 65 is 6 with a remainder of 47.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 390 from 437, we get 47.
Take the next digit (9) from the dividend and append it to 47, then repeat: 479 / 65

Advancing to step 4:
479 divided by 65 is 7 with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 67.0
If we subtract 455 from 479, we get 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 65

Moving on to step 5:
65 goes into 249 3 times with a remainder of 54.
The next digit of our result is 3. 
Result so far: 673.0
Deduct 195 from 249 and we're left with 54.
Fetch the next digit (1) from the dividend, attach it to 54 and continue: 541 / 65

On to step 6:
65 can be fit into 541 8 times, resulting in a remainder of 21.
The next digit of our result is 8. 
Result so far: 6738.0
If we take 520 away from 541, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
If we divide 210 by 65, we get 3 and a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 6738.3
Deduct 195 from 210 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.

On to step 8:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6738.32
Subtracting 130 from 150 leaves us 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.

Step 9:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6738.323
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 6738.323
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 11:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 6738.32307
Subtract 455 from 500 to 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.

Advancing to step 12:
65 goes into 450 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6738.323076
If we take 390 away from 450, we end up 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.

Step 13:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 6738.3230769
Subtracting 585 from 600 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 14:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6738.32307692
Subtracting 130 from 150 leaves us 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.

After the division, we end up with 6738.32307692 and a remainder of 2e-08.