We're dividing 25799 by 22 
We're looking to find how many times 22 goes into 25799.

Advancing to step 1:
If we divide 2 by 22, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 22

Advancing to step 2:
The number 22 fits into 25 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 3 after subtracting 22 from 25.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 22

On to step 3:
22 goes into 37 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 22 from 37 leaves us with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 22

Going ahead to step 4:
22 can be fit into 159 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 117.0
If we take 154 away from 159, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 22

Moving on to step 5:
22 goes into 59 2 times with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 1172.0
Subtract 44 from 59 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.

On to step 6:
22 goes into 150 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 1172.6
If we subtract 132 from 150, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
22 can be fit into 180 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 1172.68
The remainder is 4 after subtracting 176 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
When dividing 40 by 22, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1172.681
Subtract 22 from 40 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
22 can be fit into 180 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1172.6818
If we take 176 away from 180, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
The number 22 fits into 40 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1172.68181
If we subtract 22 from 40, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
When dividing 180 by 22, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 1172.681818
If we take 176 away from 180, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
22 can be fit into 40 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1172.6818181
Subtracting 22 from 40 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
If we divide 180 by 22, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 1172.68181818
If we take 176 away from 180, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 1172.68181818 with a balance of 4e-09.