We're dividing 586837 by 41 
We want to figure out the number of times 586837 can be divided by 41.

Step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 41

On to step 2:
If we divide 58 by 41, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 58 leaves us with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 41

Advancing to step 3:
If we divide 176 by 41, we get 4 and a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtract 164 from 176 to get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 41

Let's proceed to step 4:
128 divided by 41 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 143.0
If we take 123 away from 128, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 41

Going ahead to step 5:
41 goes into 53 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 1431.0
Subtracting 41 from 53 leaves us with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 41

Moving on to step 6:
If we divide 127 by 41, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 14313.0
Subtract 123 from 127 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.

Moving on to step 7:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 14313.0
Subtract 0 from 40 to 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.

Going ahead to step 8:
When dividing 400 by 41, we get 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 14313.09
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 9:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 14313.097
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.

Advancing to step 10:
41 can be fit into 230 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 14313.0975
Deduct 205 from 230 and we're left with 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 11:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 14313.09756
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.

Let's proceed to step 12:
41 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 14313.09756
If we take 0 away from 40, we end up 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.

Advancing to step 13:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 14313.0975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 14:
When dividing 310 by 41, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 14313.09756097
Subtract 287 from 310 to get 23.
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 14313.09756097 with a remainder of 2.3e-08.