63509641 ÷ 641 
We want to figure out the number of times 63509641 can be divided by 641.

Step 1:
When dividing 6 by 641, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 641

Going ahead to step 2:
641 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Grab the next digit (5) from the dividend, add it to 63, then carry on: 635 / 641

Advancing to step 3:
The number 641 fits into 635 0 times, leaving a remainder of 635.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 635 to get 635.
Include the next digit (0) from the dividend after 635, then repeat: 6350 / 641

Moving on to step 4:
641 can be fit into 6350 9 times, resulting in a remainder of 581.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 581 after subtracting 5769 from 6350.
Append the next digit (9) from the dividend to 581 and continue with: 5819 / 641

Step 5:
The number 641 fits into 5819 9 times, leaving a remainder of 50.
Write down 9 as next digit of the result. 
Result so far: 99.0
If we subtract 5769 from 5819, we get 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 641

Advancing to step 6:
The number 641 fits into 506 0 times, leaving a remainder of 506.
The next digit of our result is 0. 
Result so far: 990.0
Subtracting 0 from 506 leaves us with 506.
Append the next digit (4) from the dividend to 506 and continue with: 5064 / 641

Going ahead to step 7:
641 can be fit into 5064 7 times, resulting in a remainder of 577.
Use 7 as the next digit of our solution. 
Result so far: 9907.0
Subtract 4487 from 5064 to get 577.
Append the next digit (1) from the dividend to 577 and continue with: 5771 / 641

Moving on to step 8:
641 goes into 5771 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 99079.0
Deduct 5769 from 5771 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
641 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 99079.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
200 divided by 641 is 0 with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 99079.0
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 99079.0, and the remainder is 0.2.