We're dividing 586905 by 41 
We're looking to find how many times 41 goes into 586905.

Going ahead to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Moving on to step 2:
If we divide 58 by 41, we get 1 and a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 58 to get 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 41

Step 3:
41 goes into 176 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 164 from 176, we get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 41

Let's proceed to step 4:
41 can be fit into 129 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 143.0
If we take 123 away from 129, we end up with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 41

Step 5:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1431.0
Subtract 41 from 60 to get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 41

Let's proceed to step 6:
The number 41 fits into 195 4 times, leaving a remainder of 31.
The next digit of our result is 4. 
Result so far: 14314.0
Subtracting 164 from 195 leaves us 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.

Step 7:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 14314.7
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.

Advancing to step 8:
If we divide 230 by 41, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 14314.75
If we subtract 205 from 230, we 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.

Step 9:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 14314.756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 41, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 14314.756
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.

Advancing to step 11:
When dividing 400 by 41, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 14314.75609
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 12:
If we divide 310 by 41, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 14314.756097
If we take 287 away from 310, we end up 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.

Advancing to step 13:
230 divided by 41 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 14314.7560975
The remainder is 25 after subtracting 205 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
41 goes into 250 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 14314.75609756
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.

The final result is 14314.75609756 with a remainder of 4e-09.