We look at the division of 103631 by 65 
We're looking to find how many times 65 goes into 103631.

Step 1:
The number 65 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 65

Advancing to step 2:
If we divide 10 by 65, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 65

On to step 3:
103 divided by 65 is 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 65 from 103 leaves us with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 65

Let's proceed to step 4:
65 can be fit into 386 5 times, resulting in a remainder of 61.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 325 from 386, we get 61.
Take the next digit (3) from the dividend and append it to 61, then repeat: 613 / 65

Let's proceed to step 5:
When dividing 613 by 65, we get 9 with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 159.0
If we take 585 away from 613, we end up with 28.
Fetch the next digit (1) from the dividend, attach it to 28 and continue: 281 / 65

Let's proceed to step 6:
The number 65 fits into 281 4 times, leaving a remainder of 21.
The next digit of our result is 4. 
Result so far: 1594.0
Subtract 260 from 281 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
If we divide 210 by 65, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 1594.3
If we take 195 away from 210, we end up 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.

Moving on to step 8:
When dividing 150 by 65, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1594.32
If we subtract 130 from 150, we get 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 9:
If we divide 200 by 65, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 1594.323
If we take 195 away from 200, we end up 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.

Let's proceed to step 10:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1594.323
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
If we divide 500 by 65, we get 7 and a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 1594.32307
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.

Step 12:
When dividing 450 by 65, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 1594.323076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 1594.3230769
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.

Going ahead to step 14:
When dividing 150 by 65, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1594.32307692
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 1594.32307692 with a remaining 2e-08.