We look at the division of 2089657 by 689 
The aim is to understand the frequency of 689 in 2089657.

On to step 1:
The number 689 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 689

Going ahead to step 2:
When dividing 20 by 689, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 20 and we're left with 20.
Fetch the next digit (8) from the dividend, attach it to 20 and continue: 208 / 689

Step 3:
When dividing 208 by 689, we get 0 with a remainder of 208.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 208 to get 208.
Fetch the next digit (9) from the dividend, attach it to 208 and continue: 2089 / 689

On to step 4:
2089 divided by 689 is 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 2067 from 2089, we get 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 689

Going ahead to step 5:
When dividing 226 by 689, we get 0 with a remainder of 226.
Use 0 as the next digit of our solution. 
Result so far: 30.0
If we subtract 0 from 226, we get 226.
Grab the next digit (5) from the dividend, add it to 226, then carry on: 2265 / 689

Moving on to step 6:
689 can be fit into 2265 3 times, resulting in a remainder of 198.
Use 3 as the next digit of our solution. 
Result so far: 303.0
The remainder is 198 after subtracting 2067 from 2265.
Bring next digit (7) of the dividend behind the 198 and repeat the process: 1987 / 689

Step 7:
If we divide 1987 by 689, we get 2 and a remainder of 609.
The number 2 becomes the next digit in our result. 
Result so far: 3032.0
Subtract 1378 from 1987 to get 609.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6090, and continue the process.

Moving on to step 8:
When dividing 6090 by 689, we get 8 with a remainder of 578.
Put 8 as the next digit of the answer. 
Result so far: 3032.8
Deduct 5512 from 6090 and we're left with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

On to step 9:
If we divide 5780 by 689, we get 8 and a remainder of 268.
Record the quotient 8 as the next digit in the result. 
Result so far: 3032.88
Subtract 5512 from 5780 to get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

After the division, we end up with 3032.88 and a remainder of 0.268.