41077902 divided by 646 
We're looking to find how many times 646 goes into 41077902.

On to step 1:
646 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 646

On to step 2:
41 divided by 646 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 646

Moving on to step 3:
When dividing 410 by 646, we get 0 with a remainder of 410.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 410 leaves us with 410.
Include the next digit (7) from the dividend after 410, then repeat: 4107 / 646

Moving on to step 4:
646 can be fit into 4107 6 times, resulting in a remainder of 231.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 231 after subtracting 3876 from 4107.
Grab the next digit (7) from the dividend, add it to 231, then carry on: 2317 / 646

Advancing to step 5:
The number 646 fits into 2317 3 times, leaving a remainder of 379.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Subtract 1938 from 2317 to get 379.
Grab the next digit (9) from the dividend, add it to 379, then carry on: 3799 / 646

Advancing to step 6:
The number 646 fits into 3799 5 times, leaving a remainder of 569.
Put 5 as the next digit of the answer. 
Result so far: 635.0
If we take 3230 away from 3799, we end up with 569.
Fetch the next digit (0) from the dividend, attach it to 569 and continue: 5690 / 646

Going ahead to step 7:
5690 divided by 646 is 8 with a remainder of 522.
The number 8 becomes the next digit in our result. 
Result so far: 6358.0
If we take 5168 away from 5690, we end up with 522.
Take the next digit (2) from the dividend and append it to 522, then repeat: 5222 / 646

Advancing to step 8:
When dividing 5222 by 646, we get 8 with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 63588.0
Subtract 5168 from 5222 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
540 divided by 646 is 0 with a remainder of 540.
The next digit of our result is 0. 
Result so far: 63588.0
Subtract 0 from 540 to get 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Moving on to step 10:
The number 646 fits into 5400 8 times, leaving a remainder of 232.
Put 8 as the next digit of the answer. 
Result so far: 63588.08
Deduct 5168 from 5400 and we're left with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 11:
646 can be fit into 2320 3 times, resulting in a remainder of 382.
The next digit of our result is 3. 
Result so far: 63588.083
If we subtract 1938 from 2320, we get 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Let's proceed to step 12:
If we divide 3820 by 646, we get 5 and a remainder of 590.
Record the quotient 5 as the next digit in the result. 
Result so far: 63588.0835
If we take 3230 away from 3820, we end up with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Going ahead to step 13:
646 can be fit into 5900 9 times, resulting in a remainder of 86.
The number 9 becomes the next digit in our result. 
Result so far: 63588.08359
The remainder is 86 after subtracting 5814 from 5900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 14:
646 goes into 860 1 times with a remainder of 214.
Use 1 as the next digit of our solution. 
Result so far: 63588.083591
If we take 646 away from 860, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 15:
2140 divided by 646 is 3 with a remainder of 202.
Write down 3 as next digit of the result. 
Result so far: 63588.0835913
If we subtract 1938 from 2140, we get 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Advancing to step 16:
The number 646 fits into 2020 3 times, leaving a remainder of 82.
Write down 3 as next digit of the result. 
Result so far: 63588.08359133
Subtracting 1938 from 2020 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

In conclusion, the division gives 63588.08359133 with a balance of 8.2e-08.