Let's divide 688741 by 165
The aim is to understand the frequency of 165 in 688741.

Going ahead to step 1:
The number 165 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 165

Step 2:
165 can be fit into 68 0 times, resulting in a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Include the next digit (8) from the dividend after 68, then repeat: 688 / 165

Let's proceed to step 3:
The number 165 fits into 688 4 times, leaving a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 660 from 688, we get 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 165

Going ahead to step 4:
When dividing 287 by 165, we get 1 with a remainder of 122.
The next digit of our result is 1. 
Result so far: 41.0
Deduct 165 from 287 and we're left with 122.
Fetch the next digit (4) from the dividend, attach it to 122 and continue: 1224 / 165

Moving on to step 5:
If we divide 1224 by 165, we get 7 and a remainder of 69.
Record the quotient 7 as the next digit in the result. 
Result so far: 417.0
Subtract 1155 from 1224 to get 69.
Append the next digit (1) from the dividend to 69 and continue with: 691 / 165

Advancing to step 6:
If we divide 691 by 165, we get 4 and a remainder of 31.
The next digit of our result is 4. 
Result so far: 4174.0
If we take 660 away from 691, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
The number 165 fits into 310 1 times, leaving a remainder of 145.
Record the quotient 1 as the next digit in the result. 
Result so far: 4174.1
Deduct 165 from 310 and we're left with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 8:
When dividing 1450 by 165, we get 8 with a remainder of 130.
Write down 8 as next digit of the result. 
Result so far: 4174.18
Subtract 1320 from 1450 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

On to step 9:
165 goes into 1300 7 times with a remainder of 145.
Use 7 as the next digit of our solution. 
Result so far: 4174.187
Deduct 1155 from 1300 and we're left with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Going ahead to step 10:
165 goes into 1450 8 times with a remainder of 130.
Put 8 as the next digit of the answer. 
Result so far: 4174.1878
The remainder is 130 after subtracting 1320 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Step 11:
The number 165 fits into 1300 7 times, leaving a remainder of 145.
The number 7 becomes the next digit in our result. 
Result so far: 4174.18787
If we take 1155 away from 1300, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 12:
The number 165 fits into 1450 8 times, leaving a remainder of 130.
Put 8 as the next digit of the answer. 
Result so far: 4174.187878
Deduct 1320 from 1450 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 13:
When dividing 1300 by 165, we get 7 with a remainder of 145.
The next digit of our result is 7. 
Result so far: 4174.1878787
Deduct 1155 from 1300 and we're left with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 14:
1450 divided by 165 is 8 with a remainder of 130.
Write down 8 as next digit of the result. 
Result so far: 4174.18787878
Deduct 1320 from 1450 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

The final result is 4174.18787878 with a remainder of 1.3e-07.