We look at the division of 22142 by 65 
We're looking to find how many times 65 goes into 22142.

Step 1:
If we divide 2 by 65, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 65

Moving on to step 2:
If we divide 22 by 65, we get 0 and a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 22 to get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 65

Going ahead to step 3:
The number 65 fits into 221 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 195 from 221 leaves us with 26.
Fetch the next digit (4) from the dividend, attach it to 26 and continue: 264 / 65

Let's proceed to step 4:
If we divide 264 by 65, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 34.0
The remainder is 4 after subtracting 260 from 264.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

Going ahead to step 5:
65 goes into 42 0 times with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 340.0
If we subtract 0 from 42, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 6:
420 divided by 65 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 340.6
If we subtract 390 from 420, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
When dividing 300 by 65, we get 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 340.64
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 340.646
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
100 divided by 65 is 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 340.6461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
65 can be fit into 350 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 340.64615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 340.646153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
550 divided by 65 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 340.6461538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
When dividing 300 by 65, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 340.64615384
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 340.64615384 with a balance of 4e-08.