65609 ÷ 39 
Our goal is to divide 65609 by 39.

Going ahead to step 1:
When dividing 6 by 39, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 39

Advancing to step 2:
39 can be fit into 65 1 times, resulting in a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 39 from 65, we get 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 39

Let's proceed to step 3:
39 goes into 266 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 234 away from 266, we end up with 32.
Bring next digit (0) of the dividend behind the 32 and repeat the process: 320 / 39

On to step 4:
39 can be fit into 320 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 168.0
Subtracting 312 from 320 leaves us with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 39

Going ahead to step 5:
39 can be fit into 89 2 times, resulting in a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 1682.0
The remainder is 11 after subtracting 78 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
When dividing 110 by 39, we get 2 with a remainder of 32.
The next digit of our result is 2. 
Result so far: 1682.2
If we take 78 away from 110, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
The number 39 fits into 320 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 1682.28
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 39 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1682.282
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
The number 39 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1682.282
If we take 0 away from 20, 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 10:
39 can be fit into 200 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 1682.28205
If we subtract 195 from 200, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
The number 39 fits into 50 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1682.282051
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
39 can be fit into 110 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 1682.2820512
If we take 78 away from 110, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
When dividing 320 by 39, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1682.28205128
The remainder is 8 after subtracting 312 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 1682.28205128 with a remaining 8e-09.