681636 ÷ 88 
Our goal is to divide 681636 by 88.

Advancing to step 1:
The number 88 fits into 6 0 times, leaving 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.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 88

Let's proceed to step 2:
68 divided by 88 is 0 with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Take the next digit (1) from the dividend and append it to 68, then repeat: 681 / 88

Moving on to step 3:
88 can be fit into 681 7 times, resulting in a remainder of 65.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 616 away from 681, we end up with 65.
Bring next digit (6) of the dividend behind the 65 and repeat the process: 656 / 88

Advancing to step 4:
88 goes into 656 7 times with a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Subtract 616 from 656 to get 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 88

Advancing to step 5:
If we divide 403 by 88, we get 4 and a remainder of 51.
The next digit of our result is 4. 
Result so far: 774.0
Subtract 352 from 403 to get 51.
Bring next digit (6) of the dividend behind the 51 and repeat the process: 516 / 88

Let's proceed to step 6:
If we divide 516 by 88, we get 5 and a remainder of 76.
Use 5 as the next digit of our solution. 
Result so far: 7745.0
Deduct 440 from 516 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
88 goes into 760 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 7745.8
If we take 704 away from 760, we end up 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.

Moving on to step 8:
When dividing 560 by 88, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 7745.86
If we subtract 528 from 560, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
88 goes into 320 3 times with a remainder of 56.
The next digit of our result is 3. 
Result so far: 7745.863
Subtract 264 from 320 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.

Moving on to step 10:
88 goes into 560 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 7745.8636
If we take 528 away from 560, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
When dividing 320 by 88, we get 3 with a remainder of 56.
Write down 3 as next digit of the result. 
Result so far: 7745.86363
If we take 264 away from 320, we end up 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.

Moving on to step 12:
88 can be fit into 560 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 7745.863636
Subtract 528 from 560 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
If we divide 320 by 88, we get 3 and a remainder of 56.
The next digit of our result is 3. 
Result so far: 7745.8636363
If we subtract 264 from 320, we 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 14:
If we divide 560 by 88, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 7745.86363636
Subtracting 528 from 560 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 7745.86363636 with a remainder of 3.2e-08.