We're dividing 642302 by 88 
We want to divide 642302 by 88.

Let's proceed to step 1:
88 goes into 6 0 times 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.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 88

Step 2:
If we divide 64 by 88, we get 0 and a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 88

Advancing to step 3:
88 can be fit into 642 7 times, resulting in a remainder of 26.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 616 from 642, we get 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 88

Step 4:
88 can be fit into 263 2 times, resulting in a remainder of 87.
The next digit of our result is 2. 
Result so far: 72.0
Subtracting 176 from 263 leaves us with 87.
Append the next digit (0) from the dividend to 87 and continue with: 870 / 88

Moving on to step 5:
870 divided by 88 is 9 with a remainder of 78.
The number 9 becomes the next digit in our result. 
Result so far: 729.0
Deduct 792 from 870 and we're left with 78.
Fetch the next digit (2) from the dividend, attach it to 78 and continue: 782 / 88

Moving on to step 6:
When dividing 782 by 88, we get 8 with a remainder of 78.
The next digit of our result is 8. 
Result so far: 7298.0
The remainder is 78 after subtracting 704 from 782.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 7:
When dividing 780 by 88, we get 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 7298.8
Subtract 704 from 780 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 8:
88 goes into 760 8 times with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 7298.88
Deduct 704 from 760 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 7298.88 with a remaining 0.056.