Let's divide 642664 by 15
We want to figure out the number of times 642664 can be divided by 15.

On to step 1:
15 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 15

Step 2:
The number 15 fits into 64 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 60 from 64 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 15

Step 3:
The number 15 fits into 42 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 42.0
The remainder is 12 after subtracting 30 from 42.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 15

On to step 4:
15 can be fit into 126 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 428.0
If we take 120 away from 126, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 15

Moving on to step 5:
When dividing 66 by 15, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4284.0
Subtract 60 from 66 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 15

Going ahead to step 6:
15 can be fit into 64 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 42844.0
If we take 60 away from 64, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
15 goes into 40 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 42844.2
Subtract 30 from 40 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.

On to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 42844.26
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.

Let's proceed to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 42844.266
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.

The quotient of the division is 42844.266, and the remainder is 0.001.