641308 divided by 15 
Let's see how many times 15 fits into 641308.

Going ahead to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 15

Going ahead to step 2:
If we divide 64 by 15, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 60 from 64 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 15

Step 3:
When dividing 41 by 15, we get 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
The remainder is 11 after subtracting 30 from 41.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 15

Step 4:
The number 15 fits into 113 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 427.0
Subtracting 105 from 113 leaves us with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 15

On to step 5:
If we divide 80 by 15, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 4275.0
If we take 75 away from 80, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 15

On to step 6:
15 can be fit into 58 3 times, resulting in a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 42753.0
Subtract 45 from 58 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
The number 15 fits into 130 8 times, leaving a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 42753.8
If we subtract 120 from 130, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
15 goes into 100 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 42753.86
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 42753.866
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 42753.866, and the remainder is 0.001.