22306 ÷ 41 
Let's see how many times 41 fits into 22306.

On to step 1:
When dividing 2 by 41, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 41

Going ahead to step 2:
If we divide 22 by 41, we get 0 and a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 22 to get 22.
Include the next digit (3) from the dividend after 22, then repeat: 223 / 41

Let's proceed to step 3:
The number 41 fits into 223 5 times, leaving a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 205 from 223 and we're left with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 41

Let's proceed to step 4:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 54.0
Subtracting 164 from 180 leaves us with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 41

Step 5:
When dividing 166 by 41, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 544.0
If we take 164 away from 166, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
41 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 544.0
If we take 0 away from 20, we end up 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.

Going ahead to step 7:
41 goes into 200 4 times with a remainder of 36.
The next digit of our result is 4. 
Result so far: 544.04
If we subtract 164 from 200, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
41 goes into 360 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 544.048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 544.0487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 10:
If we divide 330 by 41, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 544.04878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
If we divide 20 by 41, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 544.04878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
If we divide 200 by 41, we get 4 and a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 544.0487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
41 goes into 360 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 544.04878048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 544.04878048 and a remainder of 3.2e-08.