We look at the division of 97121128 by 688 
We want to figure out the number of times 97121128 can be divided by 688.

Step 1:
9 divided by 688 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 688

Advancing to step 2:
97 divided by 688 is 0 with a remainder of 97.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 97, we get 97.
Fetch the next digit (1) from the dividend, attach it to 97 and continue: 971 / 688

Going ahead to step 3:
688 goes into 971 1 times with a remainder of 283.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 688 from 971 leaves us with 283.
Append the next digit (2) from the dividend to 283 and continue with: 2832 / 688

Step 4:
688 can be fit into 2832 4 times, resulting in a remainder of 80.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 2752 away from 2832, we end up with 80.
Append the next digit (1) from the dividend to 80 and continue with: 801 / 688

Going ahead to step 5:
The number 688 fits into 801 1 times, leaving a remainder of 113.
The number 1 becomes the next digit in our result. 
Result so far: 141.0
If we take 688 away from 801, we end up with 113.
Fetch the next digit (1) from the dividend, attach it to 113 and continue: 1131 / 688

Moving on to step 6:
1131 divided by 688 is 1 with a remainder of 443.
The number 1 becomes the next digit in our result. 
Result so far: 1411.0
Deduct 688 from 1131 and we're left with 443.
Grab the next digit (2) from the dividend, add it to 443, then carry on: 4432 / 688

Moving on to step 7:
If we divide 4432 by 688, we get 6 and a remainder of 304.
The number 6 becomes the next digit in our result. 
Result so far: 14116.0
Subtract 4128 from 4432 to get 304.
Append the next digit (8) from the dividend to 304 and continue with: 3048 / 688

Moving on to step 8:
3048 divided by 688 is 4 with a remainder of 296.
Put 4 as the next digit of the answer. 
Result so far: 141164.0
If we subtract 2752 from 3048, we get 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Going ahead to step 9:
The number 688 fits into 2960 4 times, leaving a remainder of 208.
Record the quotient 4 as the next digit in the result. 
Result so far: 141164.4
Subtracting 2752 from 2960 leaves us with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Step 10:
When dividing 2080 by 688, we get 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 141164.43
Subtract 2064 from 2080 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
688 can be fit into 160 0 times, resulting in a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 141164.43
If we take 0 away from 160, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 12:
1600 divided by 688 is 2 with a remainder of 224.
The number 2 becomes the next digit in our result. 
Result so far: 141164.4302
If we take 1376 away from 1600, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Let's proceed to step 13:
The number 688 fits into 2240 3 times, leaving a remainder of 176.
Put 3 as the next digit of the answer. 
Result so far: 141164.43023
Subtracting 2064 from 2240 leaves us with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Advancing to step 14:
When dividing 1760 by 688, we get 2 with a remainder of 384.
Put 2 as the next digit of the answer. 
Result so far: 141164.430232
If we take 1376 away from 1760, we end up with 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Advancing to step 15:
688 goes into 3840 5 times with a remainder of 400.
The number 5 becomes the next digit in our result. 
Result so far: 141164.4302325
Deduct 3440 from 3840 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Advancing to step 16:
688 can be fit into 4000 5 times, resulting in a remainder of 560.
The next digit of our result is 5. 
Result so far: 141164.43023255
The remainder is 560 after subtracting 3440 from 4000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

In conclusion, the division gives 141164.43023255 with a balance of 5.6e-07.