We look at the division of 427906 by 65 
Let's see how many times 65 fits into 427906.

Going ahead 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
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 65

Advancing to step 2:
65 can be fit into 42 0 times, resulting in a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 65

Step 3:
427 divided by 65 is 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 390 from 427, we get 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 65

Advancing to step 4:
65 goes into 379 5 times with a remainder of 54.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we take 325 away from 379, we end up with 54.
Bring next digit (0) of the dividend behind the 54 and repeat the process: 540 / 65

Let's proceed to step 5:
When dividing 540 by 65, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 658.0
Subtract 520 from 540 to get 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 65

On to step 6:
When dividing 206 by 65, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 6583.0
Subtract 195 from 206 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 65 fits into 110 1 times, leaving a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 6583.1
The remainder is 45 after subtracting 65 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
65 goes into 450 6 times with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6583.16
If we take 390 away from 450, 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.

Let's proceed to step 9:
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: 6583.169
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.

Advancing to step 10:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 6583.1692
Subtracting 130 from 150 leaves us 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.

Moving on to step 11:
When dividing 200 by 65, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 6583.16923
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.

On to step 12:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 6583.16923
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 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 6583.1692307
Subtract 455 from 500 to 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 14:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6583.16923076
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.

The quotient of the division is 6583.16923076, and the remainder is 6e-08.