Let's divide 208642 by 65
We want to figure out the number of times 208642 can be divided by 65.

Step 1:
When dividing 2 by 65, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 65

Let's proceed to step 2:
When dividing 20 by 65, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 65

Advancing to step 3:
If we divide 208 by 65, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 195 away from 208, we end up with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 65

Advancing to step 4:
The number 65 fits into 136 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we take 130 away from 136, we end up with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 65

Step 5:
64 divided by 65 is 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 320.0
The remainder is 64 after subtracting 0 from 64.
Append the next digit (2) from the dividend to 64 and continue with: 642 / 65

Let's proceed to step 6:
When dividing 642 by 65, we get 9 with a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 3209.0
If we subtract 585 from 642, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 7:
570 divided by 65 is 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 3209.8
The remainder is 50 after subtracting 520 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 3209.87
If we take 455 away from 500, we end up with 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 9:
450 divided by 65 is 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 3209.876
Subtracting 390 from 450 leaves us 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.

On to step 10:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 3209.8769
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.

Advancing to step 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 3209.87692
Deduct 130 from 150 and we're left 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 12:
200 divided by 65 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3209.876923
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.

Advancing to step 13:
When dividing 50 by 65, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 3209.876923
Subtract 0 from 50 to 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.

On to step 14:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 3209.87692307
If we subtract 455 from 500, 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.

After the division, we end up with 3209.87692307 and a remainder of 4.5e-08.