13422 ÷ 65 
We want to figure out the number of times 13422 can be divided by 65.

Let's proceed to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 65

Going ahead to step 2:
65 goes into 13 0 times with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 65

On to step 3:
65 can be fit into 134 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 130 from 134 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 65

On to step 4:
The number 65 fits into 42 0 times, leaving a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we take 0 away from 42, we end up with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 65

Going ahead to step 5:
422 divided by 65 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 206.0
The remainder is 32 after subtracting 390 from 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 6:
320 divided by 65 is 4 with a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 206.4
Subtracting 260 from 320 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.

Step 7:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 206.49
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 8:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 206.492
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 9:
200 divided by 65 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 206.4923
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 10:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 206.4923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 11:
If we divide 500 by 65, we get 7 and a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 206.492307
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.

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: 206.4923076
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.

Going ahead to step 13:
When dividing 600 by 65, we get 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 206.49230769
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.

The final outcome is 206.49230769, with a leftover of 1.5e-08.