We're dividing 42569 by 22 
Our goal is to divide 42569 by 22.

Let's proceed to step 1:
4 divided by 22 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 22

Let's proceed to step 2:
The number 22 fits into 42 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 22 from 42, we get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 22

Step 3:
When dividing 205 by 22, we get 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 198 from 205 and we're left with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 22

On to step 4:
22 goes into 76 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 193.0
Subtracting 66 from 76 leaves us with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 22

Let's proceed to step 5:
109 divided by 22 is 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 1934.0
Deduct 88 from 109 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 6:
The number 22 fits into 210 9 times, leaving a remainder of 12.
The next digit of our result is 9. 
Result so far: 1934.9
The remainder is 12 after subtracting 198 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
If we divide 120 by 22, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1934.95
Subtract 110 from 120 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 22, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1934.954
Subtracting 88 from 100 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
22 goes into 120 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1934.9545
Subtracting 110 from 120 leaves us 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 10:
When dividing 100 by 22, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1934.95454
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
120 divided by 22 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1934.954545
Subtracting 110 from 120 leaves us 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.

Moving on to step 12:
22 goes into 100 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1934.9545454
Deduct 88 from 100 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
If we divide 120 by 22, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 1934.95454545
If we subtract 110 from 120, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 1934.95454545 with a remainder of 1e-08.