688005 ÷ 65 
We want to figure out the number of times 688005 can be divided by 65.

Step 1:
65 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 65

Let's proceed to step 2:
If we divide 68 by 65, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 65 away from 68, we end up with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 65

Moving on to step 3:
When dividing 38 by 65, we get 0 with a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 38, we get 38.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 65

Moving on to step 4:
65 can be fit into 380 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 105.0
Subtracting 325 from 380 leaves us with 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 65

Moving on to step 5:
When dividing 550 by 65, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1058.0
The remainder is 30 after subtracting 520 from 550.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 65

On to step 6:
The number 65 fits into 305 4 times, leaving a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 10584.0
If we subtract 260 from 305, we 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.

Let's proceed to step 7:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 10584.6
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 8:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 10584.69
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
65 goes into 150 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 10584.692
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 10:
When dividing 200 by 65, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 10584.6923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
65 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10584.6923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 12:
If we divide 500 by 65, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 10584.692307
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.

Step 13:
65 goes into 450 6 times with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 10584.6923076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 10584.69230769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 10584.69230769 with a remaining 1.5e-08.