4497428 divided by 688 
The aim is to understand the frequency of 688 in 4497428.

Step 1:
If we divide 4 by 688, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 688

Going ahead to step 2:
688 goes into 44 0 times with a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 44 and we're left with 44.
Take the next digit (9) from the dividend and append it to 44, then repeat: 449 / 688

Advancing to step 3:
449 divided by 688 is 0 with a remainder of 449.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 449, we end up with 449.
Take the next digit (7) from the dividend and append it to 449, then repeat: 4497 / 688

Advancing to step 4:
4497 divided by 688 is 6 with a remainder of 369.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 369 after subtracting 4128 from 4497.
Append the next digit (4) from the dividend to 369 and continue with: 3694 / 688

On to step 5:
If we divide 3694 by 688, we get 5 and a remainder of 254.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtract 3440 from 3694 to get 254.
Grab the next digit (2) from the dividend, add it to 254, then carry on: 2542 / 688

Let's proceed to step 6:
688 goes into 2542 3 times with a remainder of 478.
Put 3 as the next digit of the answer. 
Result so far: 653.0
Deduct 2064 from 2542 and we're left with 478.
Bring next digit (8) of the dividend behind the 478 and repeat the process: 4788 / 688

Step 7:
4788 divided by 688 is 6 with a remainder of 660.
Record the quotient 6 as the next digit in the result. 
Result so far: 6536.0
If we take 4128 away from 4788, we end up with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Going ahead to step 8:
688 can be fit into 6600 9 times, resulting in a remainder of 408.
Write down 9 as next digit of the result. 
Result so far: 6536.9
Deduct 6192 from 6600 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Let's proceed to step 9:
688 can be fit into 4080 5 times, resulting in a remainder of 640.
Use 5 as the next digit of our solution. 
Result so far: 6536.95
Subtracting 3440 from 4080 leaves us with 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

On to step 10:
The number 688 fits into 6400 9 times, leaving a remainder of 208.
Write down 9 as next digit of the result. 
Result so far: 6536.959
Subtracting 6192 from 6400 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.

Moving on to step 11:
If we divide 2080 by 688, we get 3 and a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 6536.9593
If we take 2064 away from 2080, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
When dividing 160 by 688, we get 0 with a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 6536.9593
Subtract 0 from 160 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Let's proceed to step 13:
If we divide 1600 by 688, we get 2 and a remainder of 224.
Use 2 as the next digit of our solution. 
Result so far: 6536.959302
The remainder is 224 after subtracting 1376 from 1600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Moving on to step 14:
688 goes into 2240 3 times with a remainder of 176.
Record the quotient 3 as the next digit in the result. 
Result so far: 6536.9593023
The remainder is 176 after subtracting 2064 from 2240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Step 15:
If we divide 1760 by 688, we get 2 and a remainder of 384.
The number 2 becomes the next digit in our result. 
Result so far: 6536.95930232
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.

In conclusion, the division gives 6536.95930232 with a balance of 3.84e-07.