We're dividing 103584 by 65 
We want to figure out the number of times 103584 can be divided by 65.

Let's proceed to step 1:
The number 65 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 65

Let's proceed to step 2:
When dividing 10 by 65, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 65

Let's proceed to step 3:
65 goes into 103 1 times with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 65 from 103 leaves us with 38.
Grab the next digit (5) from the dividend, add it to 38, then carry on: 385 / 65

Advancing to step 4:
385 divided by 65 is 5 with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 325 away from 385, we end up with 60.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 65

On to step 5:
608 divided by 65 is 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 159.0
If we take 585 away from 608, we end up with 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 65

Moving on to step 6:
65 goes into 234 3 times with a remainder of 39.
The next digit of our result is 3. 
Result so far: 1593.0
Subtracting 195 from 234 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
When dividing 390 by 65, we get 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 1593.6
If we subtract 390 from 390, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 65, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1593.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
65 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1593.6
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 1593.6 with a remaining 0.0.