Let's divide 41021 by 65
We want to figure out the number of times 41021 can be divided by 65.

On to step 1:
65 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 65

Step 2:
65 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 65

Advancing to step 3:
410 divided by 65 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 390 away from 410, we end up with 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 65

Step 4:
When dividing 202 by 65, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Deduct 195 from 202 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 65

Step 5:
The number 65 fits into 71 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 631.0
If we take 65 away from 71, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
65 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 631.0
If we take 0 away from 60, 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.

Moving on to step 7:
When dividing 600 by 65, we get 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 631.09
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.

Moving on to step 8:
When dividing 150 by 65, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 631.092
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 631.0923
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 10:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 631.0923
Subtracting 0 from 50 leaves us 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.

Step 11:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 631.092307
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.

Advancing to step 12:
When dividing 450 by 65, we get 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 631.0923076
Deduct 390 from 450 and we're left 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.

Advancing to step 13:
If we divide 600 by 65, we get 9 and a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 631.09230769
If we take 585 away from 600, 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.

Our division results in 631.09230769 with a remaining 1.5e-08.