We look at the division of 634761 by 41 
We want to divide 634761 by 41.

On to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 41

On to step 2:
The number 41 fits into 63 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 63 leaves us with 22.
Include the next digit (4) from the dividend after 22, then repeat: 224 / 41

Let's proceed to step 3:
When dividing 224 by 41, we get 5 with a remainder of 19.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 205 from 224 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 41

Moving on to step 4:
41 goes into 197 4 times with a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
Subtract 164 from 197 to get 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 41

Let's proceed to step 5:
If we divide 336 by 41, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1548.0
Subtract 328 from 336 to get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 41

Step 6:
If we divide 81 by 41, we get 1 and a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 15481.0
Subtract 41 from 81 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.

Step 7:
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: 15481.9
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.

Going ahead to step 8:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 15481.97
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
41 goes into 230 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15481.975
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.

Let's proceed to step 10:
250 divided by 41 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 15481.9756
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.

On to step 11:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 15481.9756
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.

On to step 12:
41 goes into 400 9 times with a remainder of 31.
The next digit of our result is 9. 
Result so far: 15481.975609
The remainder is 31 after subtracting 369 from 400.
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 13:
310 divided by 41 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 15481.9756097
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.

Moving on to step 14:
If we divide 230 by 41, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 15481.97560975
If we take 205 away from 230, we end up 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.

The final outcome is 15481.97560975, with a leftover of 2.5e-08.