80569837 ÷ 669 
The aim is to understand the frequency of 669 in 80569837.

Step 1:
669 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 669

Advancing to step 2:
When dividing 80 by 669, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 80 leaves us with 80.
Include the next digit (5) from the dividend after 80, then repeat: 805 / 669

Advancing to step 3:
669 goes into 805 1 times with a remainder of 136.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 669 from 805 leaves us with 136.
Bring next digit (6) of the dividend behind the 136 and repeat the process: 1366 / 669

Moving on to step 4:
When dividing 1366 by 669, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 1338 away from 1366, we end up with 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 669

Step 5:
669 can be fit into 289 0 times, resulting in a remainder of 289.
The next digit of our result is 0. 
Result so far: 120.0
Deduct 0 from 289 and we're left with 289.
Take the next digit (8) from the dividend and append it to 289, then repeat: 2898 / 669

Going ahead to step 6:
669 goes into 2898 4 times with a remainder of 222.
The next digit of our result is 4. 
Result so far: 1204.0
Subtracting 2676 from 2898 leaves us with 222.
Take the next digit (3) from the dividend and append it to 222, then repeat: 2223 / 669

Let's proceed to step 7:
669 goes into 2223 3 times with a remainder of 216.
The next digit of our result is 3. 
Result so far: 12043.0
Subtract 2007 from 2223 to get 216.
Grab the next digit (7) from the dividend, add it to 216, then carry on: 2167 / 669

On to step 8:
If we divide 2167 by 669, we get 3 and a remainder of 160.
Record the quotient 3 as the next digit in the result. 
Result so far: 120433.0
Subtract 2007 from 2167 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 9:
669 goes into 1600 2 times with a remainder of 262.
The next digit of our result is 2. 
Result so far: 120433.2
Deduct 1338 from 1600 and we're left with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Let's proceed to step 10:
669 goes into 2620 3 times with a remainder of 613.
The next digit of our result is 3. 
Result so far: 120433.23
The remainder is 613 after subtracting 2007 from 2620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6130, and continue the process.

Step 11:
669 goes into 6130 9 times with a remainder of 109.
Put 9 as the next digit of the answer. 
Result so far: 120433.239
The remainder is 109 after subtracting 6021 from 6130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

On to step 12:
669 goes into 1090 1 times with a remainder of 421.
Put 1 as the next digit of the answer. 
Result so far: 120433.2391
Deduct 669 from 1090 and we're left with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Moving on to step 13:
When dividing 4210 by 669, we get 6 with a remainder of 196.
Use 6 as the next digit of our solution. 
Result so far: 120433.23916
The remainder is 196 after subtracting 4014 from 4210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

On to step 14:
669 can be fit into 1960 2 times, resulting in a remainder of 622.
The next digit of our result is 2. 
Result so far: 120433.239162
If we subtract 1338 from 1960, we get 622.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6220, and continue the process.

Step 15:
669 can be fit into 6220 9 times, resulting in a remainder of 199.
Put 9 as the next digit of the answer. 
Result so far: 120433.2391629
If we subtract 6021 from 6220, we get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

On to step 16:
1990 divided by 669 is 2 with a remainder of 652.
The next digit of our result is 2. 
Result so far: 120433.23916292
The remainder is 652 after subtracting 1338 from 1990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

In conclusion, the division gives 120433.23916292 with a balance of 6.52e-07.