86227 ÷ 41 
We want to figure out the number of times 86227 can be divided by 41.

On to step 1:
8 divided by 41 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 41

Going ahead to step 2:
When dividing 86 by 41, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 82 from 86 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 41

Advancing to step 3:
42 divided by 41 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 41 from 42 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 41

On to step 4:
41 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 210.0
Subtracting 0 from 12 leaves us with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 41

Advancing to step 5:
41 can be fit into 127 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 2103.0
If we take 123 away from 127, 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.

On to step 6:
41 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 2103.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
400 divided by 41 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 2103.09
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
41 goes into 310 7 times with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2103.097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
When dividing 230 by 41, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2103.0975
Subtract 205 from 230 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.

On to step 10:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2103.09756
If we take 246 away from 250, 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.

Step 11:
When dividing 40 by 41, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 2103.09756
Deduct 0 from 40 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.

Step 12:
If we divide 400 by 41, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 2103.0975609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 2103.09756097
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 2103.09756097 with a remainder of 2.3e-08.