41407288 divided by 635 
Our goal is to divide 41407288 by 635.

Advancing to step 1:
When dividing 4 by 635, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 635

Advancing to step 2:
If we divide 41 by 635, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 635

On to step 3:
The number 635 fits into 414 0 times, leaving a remainder of 414.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 414, we get 414.
Take the next digit (0) from the dividend and append it to 414, then repeat: 4140 / 635

Advancing to step 4:
635 can be fit into 4140 6 times, resulting in a remainder of 330.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 3810 away from 4140, we end up with 330.
Grab the next digit (7) from the dividend, add it to 330, then carry on: 3307 / 635

On to step 5:
If we divide 3307 by 635, we get 5 and a remainder of 132.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Deduct 3175 from 3307 and we're left with 132.
Include the next digit (2) from the dividend after 132, then repeat: 1322 / 635

Moving on to step 6:
635 goes into 1322 2 times with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 652.0
Subtracting 1270 from 1322 leaves us with 52.
Include the next digit (8) from the dividend after 52, then repeat: 528 / 635

Going ahead to step 7:
If we divide 528 by 635, we get 0 and a remainder of 528.
The number 0 becomes the next digit in our result. 
Result so far: 6520.0
Subtract 0 from 528 to get 528.
Fetch the next digit (8) from the dividend, attach it to 528 and continue: 5288 / 635

Advancing to step 8:
When dividing 5288 by 635, we get 8 with a remainder of 208.
Put 8 as the next digit of the answer. 
Result so far: 65208.0
Subtract 5080 from 5288 to get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 9:
635 goes into 2080 3 times with a remainder of 175.
Put 3 as the next digit of the answer. 
Result so far: 65208.3
Subtract 1905 from 2080 to get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

On to step 10:
When dividing 1750 by 635, we get 2 with a remainder of 480.
Record the quotient 2 as the next digit in the result. 
Result so far: 65208.32
Deduct 1270 from 1750 and we're left with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Advancing to step 11:
When dividing 4800 by 635, we get 7 with a remainder of 355.
Record the quotient 7 as the next digit in the result. 
Result so far: 65208.327
Deduct 4445 from 4800 and we're left with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Step 12:
635 goes into 3550 5 times with a remainder of 375.
Put 5 as the next digit of the answer. 
Result so far: 65208.3275
Deduct 3175 from 3550 and we're left with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Let's proceed to step 13:
When dividing 3750 by 635, we get 5 with a remainder of 575.
The number 5 becomes the next digit in our result. 
Result so far: 65208.32755
If we take 3175 away from 3750, we end up with 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

The final result is 65208.32755 with a remainder of 0.000575.