We look at the division of 642002 by 97 
Our goal is to divide 642002 by 97.

Advancing to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 97

On to step 2:
97 can be fit into 64 0 times, resulting in a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Append the next digit (2) from the dividend to 64 and continue with: 642 / 97

Advancing to step 3:
The number 97 fits into 642 6 times, leaving a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 582 from 642 to get 60.
Take the next digit (0) from the dividend and append it to 60, then repeat: 600 / 97

Moving on to step 4:
The number 97 fits into 600 6 times, leaving a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we subtract 582 from 600, we get 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 97

Step 5:
When dividing 180 by 97, we get 1 with a remainder of 83.
The number 1 becomes the next digit in our result. 
Result so far: 661.0
Subtract 97 from 180 to get 83.
Append the next digit (2) from the dividend to 83 and continue with: 832 / 97

Step 6:
The number 97 fits into 832 8 times, leaving a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 6618.0
Subtract 776 from 832 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
The number 97 fits into 560 5 times, leaving a remainder of 75.
The next digit of our result is 5. 
Result so far: 6618.5
The remainder is 75 after subtracting 485 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 8:
97 can be fit into 750 7 times, resulting in a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 6618.57
Subtract 679 from 750 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 9:
710 divided by 97 is 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 6618.577
If we subtract 679 from 710, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 6618.577 and a remainder of 0.0031.