We look at the division of 75873401 by 689 
The aim is to understand the frequency of 689 in 75873401.

Step 1:
The number 689 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 689

Step 2:
The number 689 fits into 75 0 times, leaving a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Bring next digit (8) of the dividend behind the 75 and repeat the process: 758 / 689

Advancing to step 3:
When dividing 758 by 689, we get 1 with a remainder of 69.
The next digit of our result is 1. 
Result so far: 1.0
If we take 689 away from 758, we end up with 69.
Bring next digit (7) of the dividend behind the 69 and repeat the process: 697 / 689

Let's proceed to step 4:
689 goes into 697 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 8 after subtracting 689 from 697.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 689

Moving on to step 5:
689 can be fit into 83 0 times, resulting in a remainder of 83.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtracting 0 from 83 leaves us with 83.
Fetch the next digit (4) from the dividend, attach it to 83 and continue: 834 / 689

On to step 6:
If we divide 834 by 689, we get 1 and a remainder of 145.
Put 1 as the next digit of the answer. 
Result so far: 1101.0
The remainder is 145 after subtracting 689 from 834.
Take the next digit (0) from the dividend and append it to 145, then repeat: 1450 / 689

Let's proceed to step 7:
689 can be fit into 1450 2 times, resulting in a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 11012.0
If we subtract 1378 from 1450, we get 72.
Grab the next digit (1) from the dividend, add it to 72, then carry on: 721 / 689

Going ahead to step 8:
689 can be fit into 721 1 times, resulting in a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 110121.0
Deduct 689 from 721 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
The number 689 fits into 320 0 times, leaving a remainder of 320.
Put 0 as the next digit of the answer. 
Result so far: 110121.0
Subtracting 0 from 320 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Step 10:
689 goes into 3200 4 times with a remainder of 444.
The number 4 becomes the next digit in our result. 
Result so far: 110121.04
Deduct 2756 from 3200 and we're left with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Let's proceed to step 11:
The number 689 fits into 4440 6 times, leaving a remainder of 306.
The next digit of our result is 6. 
Result so far: 110121.046
The remainder is 306 after subtracting 4134 from 4440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Step 12:
689 goes into 3060 4 times with a remainder of 304.
Put 4 as the next digit of the answer. 
Result so far: 110121.0464
Subtract 2756 from 3060 to get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Moving on to step 13:
When dividing 3040 by 689, we get 4 with a remainder of 284.
Write down 4 as next digit of the result. 
Result so far: 110121.04644
Deduct 2756 from 3040 and we're left with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

The final result is 110121.04644 with a remainder of 0.000284.