75562661 ÷ 688 
Let's see how many times 688 fits into 75562661.

On to step 1:
The number 688 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 688

Let's proceed to step 2:
75 divided by 688 is 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Fetch the next digit (5) from the dividend, attach it to 75 and continue: 755 / 688

Advancing to step 3:
755 divided by 688 is 1 with a remainder of 67.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 688 from 755, we get 67.
Take the next digit (6) from the dividend and append it to 67, then repeat: 676 / 688

Let's proceed to step 4:
The number 688 fits into 676 0 times, leaving a remainder of 676.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 676 leaves us with 676.
Bring next digit (2) of the dividend behind the 676 and repeat the process: 6762 / 688

Advancing to step 5:
688 goes into 6762 9 times with a remainder of 570.
Use 9 as the next digit of our solution. 
Result so far: 109.0
Subtracting 6192 from 6762 leaves us with 570.
Grab the next digit (6) from the dividend, add it to 570, then carry on: 5706 / 688

Step 6:
When dividing 5706 by 688, we get 8 with a remainder of 202.
Write down 8 as next digit of the result. 
Result so far: 1098.0
If we take 5504 away from 5706, we end up with 202.
Take the next digit (6) from the dividend and append it to 202, then repeat: 2026 / 688

Step 7:
2026 divided by 688 is 2 with a remainder of 650.
Write down 2 as next digit of the result. 
Result so far: 10982.0
The remainder is 650 after subtracting 1376 from 2026.
Fetch the next digit (1) from the dividend, attach it to 650 and continue: 6501 / 688

Step 8:
688 goes into 6501 9 times with a remainder of 309.
Put 9 as the next digit of the answer. 
Result so far: 109829.0
If we take 6192 away from 6501, we end up with 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Step 9:
If we divide 3090 by 688, we get 4 and a remainder of 338.
Use 4 as the next digit of our solution. 
Result so far: 109829.4
Subtract 2752 from 3090 to get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Going ahead to step 10:
If we divide 3380 by 688, we get 4 and a remainder of 628.
The number 4 becomes the next digit in our result. 
Result so far: 109829.44
The remainder is 628 after subtracting 2752 from 3380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

In conclusion, the division gives 109829.44 with a balance of 0.628.