We divide 642688 by 24
Our goal is to divide 642688 by 24.

Step 1:
When dividing 6 by 24, we get 0 with 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.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 24

Moving on to step 2:
When dividing 64 by 24, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 16 after subtracting 48 from 64.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 24

Step 3:
The number 24 fits into 162 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 144 from 162 and we're left with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 24

On to step 4:
24 can be fit into 186 7 times, resulting in a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 267.0
If we take 168 away from 186, we end up with 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 24

Let's proceed to step 5:
188 divided by 24 is 7 with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 2677.0
Deduct 168 from 188 and we're left with 20.
Fetch the next digit (8) from the dividend, attach it to 20 and continue: 208 / 24

Advancing to step 6:
If we divide 208 by 24, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 26778.0
Subtracting 192 from 208 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
24 goes into 160 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 26778.6
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
When dividing 160 by 24, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 26778.66
If we take 144 away from 160, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 26778.66 with a remainder of 0.016.