75414227 ÷ 688 
The aim is to understand the frequency of 688 in 75414227.

Let's proceed to step 1:
If we divide 7 by 688, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 688

Moving on to step 2:
75 divided by 688 is 0 with a remainder of 75.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Take the next digit (4) from the dividend and append it to 75, then repeat: 754 / 688

Step 3:
If we divide 754 by 688, we get 1 and a remainder of 66.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 66 after subtracting 688 from 754.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 688

Let's proceed to step 4:
The number 688 fits into 661 0 times, leaving a remainder of 661.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 661, we end up with 661.
Include the next digit (4) from the dividend after 661, then repeat: 6614 / 688

On to step 5:
688 can be fit into 6614 9 times, resulting in a remainder of 422.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Deduct 6192 from 6614 and we're left with 422.
Take the next digit (2) from the dividend and append it to 422, then repeat: 4222 / 688

On to step 6:
When dividing 4222 by 688, we get 6 with a remainder of 94.
The number 6 becomes the next digit in our result. 
Result so far: 1096.0
Subtracting 4128 from 4222 leaves us with 94.
Fetch the next digit (2) from the dividend, attach it to 94 and continue: 942 / 688

Going ahead to step 7:
When dividing 942 by 688, we get 1 with a remainder of 254.
Use 1 as the next digit of our solution. 
Result so far: 10961.0
Subtract 688 from 942 to get 254.
Append the next digit (7) from the dividend to 254 and continue with: 2547 / 688

Advancing to step 8:
If we divide 2547 by 688, we get 3 and a remainder of 483.
Put 3 as the next digit of the answer. 
Result so far: 109613.0
The remainder is 483 after subtracting 2064 from 2547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4830, and continue the process.

Moving on to step 9:
When dividing 4830 by 688, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 109613.7
The remainder is 14 after subtracting 4816 from 4830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
140 divided by 688 is 0 with a remainder of 140.
The next digit of our result is 0. 
Result so far: 109613.7
Deduct 0 from 140 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

On to step 11:
When dividing 1400 by 688, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 109613.702
Deduct 1376 from 1400 and we're left 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.

Going ahead to step 12:
If we divide 240 by 688, we get 0 and a remainder of 240.
The next digit of our result is 0. 
Result so far: 109613.702
Subtract 0 from 240 to get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 13:
When dividing 2400 by 688, we get 3 with a remainder of 336.
Put 3 as the next digit of the answer. 
Result so far: 109613.70203
Subtract 2064 from 2400 to get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Let's proceed to step 14:
When dividing 3360 by 688, we get 4 with a remainder of 608.
The next digit of our result is 4. 
Result so far: 109613.702034
If we take 2752 away from 3360, we end up with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Step 15:
When dividing 6080 by 688, we get 8 with a remainder of 576.
Put 8 as the next digit of the answer. 
Result so far: 109613.7020348
The remainder is 576 after subtracting 5504 from 6080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

Moving on to step 16:
When dividing 5760 by 688, we get 8 with a remainder of 256.
Record the quotient 8 as the next digit in the result. 
Result so far: 109613.70203488
If we take 5504 away from 5760, we end up with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

In conclusion, the division gives 109613.70203488 with a balance of 2.56e-07.