We're dividing 950863 by 41 
We want to figure out the number of times 950863 can be divided by 41.

Advancing to step 1:
When dividing 9 by 41, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 41

On to step 2:
When dividing 95 by 41, we get 2 with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 82 from 95 to get 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 41

Advancing to step 3:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we subtract 123 from 130, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 41

Advancing to step 4:
41 can be fit into 78 1 times, resulting in a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 231.0
If we take 41 away from 78, we end up with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 41

On to step 5:
41 goes into 376 9 times with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 2319.0
Subtract 369 from 376 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 41

Advancing to step 6:
If we divide 73 by 41, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 23191.0
Subtract 41 from 73 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
If we divide 320 by 41, we get 7 and a remainder of 33.
The next digit of our result is 7. 
Result so far: 23191.7
Subtracting 287 from 320 leaves us 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.

On to step 8:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 23191.78
Subtract 328 from 330 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
41 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 23191.78
Deduct 0 from 20 and we're left 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.

Let's proceed to step 10:
200 divided by 41 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 23191.7804
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.

Advancing to step 11:
The number 41 fits into 360 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 23191.78048
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.

On to step 12:
320 divided by 41 is 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 23191.780487
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 13:
When dividing 330 by 41, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 23191.7804878
If we subtract 328 from 330, we get 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 14:
41 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 23191.7804878
Deduct 0 from 20 and we're left 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.

Our division results in 23191.7804878 with a remaining 2e-08.