Let's divide 418021 by 65
We're looking to find how many times 65 goes into 418021.

On to step 1:
4 divided by 65 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 65

Step 2:
If we divide 41 by 65, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 65

Moving on to step 3:
When dividing 418 by 65, we get 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 390 from 418 and we're left with 28.
Bring next digit (0) of the dividend behind the 28 and repeat the process: 280 / 65

Moving on to step 4:
280 divided by 65 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtracting 260 from 280 leaves us with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 65

Advancing to step 5:
65 goes into 202 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 643.0
If we subtract 195 from 202, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 65

On to step 6:
65 can be fit into 71 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 6431.0
Subtract 65 from 71 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 65, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 6431.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
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: 6431.09
If we subtract 585 from 600, we 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.

On to step 9:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6431.092
If we take 130 away from 150, we end up 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.

Advancing to step 10:
200 divided by 65 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 6431.0923
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:
When dividing 50 by 65, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6431.0923
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.

Let's proceed to step 12:
65 goes into 500 7 times with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6431.092307
Subtracting 455 from 500 leaves us 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.

Moving on to step 13:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6431.0923076
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.

Advancing to step 14:
If we divide 600 by 65, we get 9 and a remainder of 15.
The next digit of our result is 9. 
Result so far: 6431.09230769
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.

After the division, we end up with 6431.09230769 and a remainder of 1.5e-08.