We look at the division of 7583093 by 689 
The aim is to understand the frequency of 689 in 7583093.

On to step 1:
If we divide 7 by 689, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 689

Let's proceed to step 2:
When dividing 75 by 689, we get 0 with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Bring next digit (8) of the dividend behind the 75 and repeat the process: 758 / 689

Step 3:
The number 689 fits into 758 1 times, leaving a remainder of 69.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 689 from 758 leaves us with 69.
Fetch the next digit (3) from the dividend, attach it to 69 and continue: 693 / 689

Going ahead to step 4:
If we divide 693 by 689, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 689 away from 693, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 689

Going ahead to step 5:
689 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
Deduct 0 from 40 and we're left with 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 689

On to step 6:
The number 689 fits into 409 0 times, leaving a remainder of 409.
The number 0 becomes the next digit in our result. 
Result so far: 1100.0
Deduct 0 from 409 and we're left with 409.
Include the next digit (3) from the dividend after 409, then repeat: 4093 / 689

Advancing to step 7:
The number 689 fits into 4093 5 times, leaving a remainder of 648.
The next digit of our result is 5. 
Result so far: 11005.0
If we take 3445 away from 4093, we end up with 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

Let's proceed to step 8:
689 can be fit into 6480 9 times, resulting in a remainder of 279.
Put 9 as the next digit of the answer. 
Result so far: 11005.9
Subtracting 6201 from 6480 leaves us with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

On to step 9:
2790 divided by 689 is 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 11005.94
Subtract 2756 from 2790 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
When dividing 340 by 689, we get 0 with a remainder of 340.
Use 0 as the next digit of our solution. 
Result so far: 11005.94
Subtracting 0 from 340 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Going ahead to step 11:
When dividing 3400 by 689, we get 4 with a remainder of 644.
Record the quotient 4 as the next digit in the result. 
Result so far: 11005.9404
Deduct 2756 from 3400 and we're left with 644.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

On to step 12:
6440 divided by 689 is 9 with a remainder of 239.
The next digit of our result is 9. 
Result so far: 11005.94049
If we take 6201 away from 6440, we end up with 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

Advancing to step 13:
689 goes into 2390 3 times with a remainder of 323.
Write down 3 as next digit of the result. 
Result so far: 11005.940493
Subtract 2067 from 2390 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Moving on to step 14:
3230 divided by 689 is 4 with a remainder of 474.
Write down 4 as next digit of the result. 
Result so far: 11005.9404934
If we take 2756 away from 3230, we end up with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Going ahead to step 15:
689 goes into 4740 6 times with a remainder of 606.
The number 6 becomes the next digit in our result. 
Result so far: 11005.94049346
The remainder is 606 after subtracting 4134 from 4740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

After the division, we end up with 11005.94049346 and a remainder of 6.06e-07.