635811 divided by 41 
We want to figure out the number of times 635811 can be divided by 41.

Step 1:
6 divided by 41 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 41

Going ahead to step 2:
63 divided by 41 is 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 63 to get 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 41

Let's proceed to step 3:
41 goes into 225 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 20 after subtracting 205 from 225.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 41

Step 4:
The number 41 fits into 208 5 times, leaving a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 155.0
Subtract 205 from 208 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 41

Advancing to step 5:
41 goes into 31 0 times with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 1550.0
Subtract 0 from 31 to get 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 41

Moving on to step 6:
The number 41 fits into 311 7 times, leaving a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 15507.0
Deduct 287 from 311 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 15507.5
Subtracting 205 from 240 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
When dividing 350 by 41, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 15507.58
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
When dividing 220 by 41, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15507.585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 15507.5853
Deduct 123 from 150 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 11:
When dividing 270 by 41, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 15507.58536
Deduct 246 from 270 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 41 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 15507.585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
41 goes into 350 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 15507.5853658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 14:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 15507.58536585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 15507.58536585 with a balance of 1.5e-08.