953863 divided by 41 
We want to figure out the number of times 953863 can be divided by 41.

On to step 1:
The number 41 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 41

Let's proceed to step 2:
The number 41 fits into 95 2 times, leaving a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 82 away from 95, we end up with 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 41

Step 3:
When dividing 133 by 41, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Deduct 123 from 133 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 41

Advancing to step 4:
The number 41 fits into 108 2 times, leaving a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 232.0
If we subtract 82 from 108, we get 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 41

Step 5:
The number 41 fits into 266 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 2326.0
If we take 246 away from 266, we end up with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 41

Moving on to step 6:
When dividing 203 by 41, we get 4 with a remainder of 39.
Use 4 as the next digit of our solution. 
Result so far: 23264.0
Deduct 164 from 203 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
When dividing 390 by 41, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 23264.9
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
When dividing 210 by 41, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 23264.95
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
When dividing 50 by 41, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 23264.951
If we subtract 41 from 50, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 23264.9512
If we take 82 away from 90, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
80 divided by 41 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 23264.95121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 12:
390 divided by 41 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 23264.951219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
The number 41 fits into 210 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 23264.9512195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
41 goes into 50 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 23264.95121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 23264.95121951 with a remainder of 9e-09.