We look at the division of 95953 by 41 
Our goal is to divide 95953 by 41.

Step 1:
9 divided by 41 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 41

Step 2:
The number 41 fits into 95 2 times, leaving a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 82 from 95 and we're left with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 41

Advancing to step 3:
The number 41 fits into 139 3 times, leaving a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 23.0
The remainder is 16 after subtracting 123 from 139.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 41

On to step 4:
If we divide 165 by 41, we get 4 and a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 234.0
If we subtract 164 from 165, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 41

On to step 5:
When dividing 13 by 41, we get 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 2340.0
Subtract 0 from 13 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
The number 41 fits into 130 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 2340.3
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 41, we get 1 and a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 2340.31
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 8:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 2340.317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 2340.317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
If we divide 300 by 41, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 2340.31707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 11:
If we divide 130 by 41, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 2340.317073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 2340.3170731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
If we divide 290 by 41, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 2340.31707317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 2340.31707317 with a remaining 3e-09.