422290 ÷ 65 
Our goal is to divide 422290 by 65.

On to step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

Let's proceed to step 2:
When dividing 42 by 65, we get 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 65

On to step 3:
If we divide 422 by 65, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 390 from 422, we get 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 65

On to step 4:
65 can be fit into 322 4 times, resulting in a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we subtract 260 from 322, we get 62.
Append the next digit (9) from the dividend to 62 and continue with: 629 / 65

Let's proceed to step 5:
The number 65 fits into 629 9 times, leaving a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 649.0
Subtract 585 from 629 to get 44.
Grab the next digit (0) from the dividend, add it to 44, then carry on: 440 / 65

Advancing to step 6:
When dividing 440 by 65, we get 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 6496.0
If we subtract 390 from 440, we 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.

Step 7:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 6496.7
Deduct 455 from 500 and we're left 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.

Let's proceed to step 8:
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: 6496.76
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.

On to step 9:
600 divided by 65 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 6496.769
Subtract 585 from 600 to 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.

Advancing to step 10:
65 goes into 150 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6496.7692
Deduct 130 from 150 and we're left 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.

Step 11:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6496.76923
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.

Step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6496.76923
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.

Let's proceed to step 13:
If we divide 500 by 65, we get 7 and a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6496.7692307
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.

Let's proceed to step 14:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6496.76923076
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.

Our division results in 6496.76923076 with a remaining 6e-08.