We look at the division of 646538 by 88 
Our goal is to divide 646538 by 88.

On to step 1:
88 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 88

Let's proceed to step 2:
If we divide 64 by 88, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 88

Moving on to step 3:
88 goes into 646 7 times with a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 616 from 646 to get 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 88

On to step 4:
305 divided by 88 is 3 with a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtract 264 from 305 to get 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 88

Let's proceed to step 5:
88 goes into 413 4 times with a remainder of 61.
Write down 4 as next digit of the result. 
Result so far: 734.0
Subtract 352 from 413 to get 61.
Include the next digit (8) from the dividend after 61, then repeat: 618 / 88

Going ahead to step 6:
88 goes into 618 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7347.0
The remainder is 2 after subtracting 616 from 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 88, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 7347.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
When dividing 200 by 88, we get 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 7347.02
Subtracting 176 from 200 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
When dividing 240 by 88, we get 2 with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 7347.022
Subtract 176 from 240 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 7347.022 and a remainder of 0.0064.