We're dividing 259641 by 22 
Our goal is to divide 259641 by 22.

Let's proceed to step 1:
The number 22 fits into 2 0 times, leaving 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.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 22

Advancing to step 2:
22 goes into 25 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 22 from 25, we get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 22

Moving on to step 3:
If we divide 39 by 22, we get 1 and a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 22 away from 39, we end up with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 22

On to step 4:
When dividing 176 by 22, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 118.0
Subtract 176 from 176 to get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 22

Step 5:
4 divided by 22 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 1180.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 22

On to step 6:
22 can be fit into 41 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 11801.0
Subtracting 22 from 41 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
190 divided by 22 is 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 11801.8
Subtracting 176 from 190 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
140 divided by 22 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 11801.86
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
When dividing 80 by 22, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 11801.863
Subtract 66 from 80 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
The number 22 fits into 140 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 11801.8636
Subtract 132 from 140 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
22 can be fit into 80 3 times, resulting in a remainder of 14.
The next digit of our result is 3. 
Result so far: 11801.86363
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
140 divided by 22 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 11801.863636
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
When dividing 80 by 22, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 11801.8636363
If we subtract 66 from 80, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
If we divide 140 by 22, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 11801.86363636
If we subtract 132 from 140, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 11801.86363636 with a remainder of 8e-09.