We're dividing 83769108 by 669 
The aim is to understand the frequency of 669 in 83769108.

Let's proceed to step 1:
669 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 669

Advancing to step 2:
669 can be fit into 83 0 times, resulting in a remainder of 83.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 83, we end up with 83.
Include the next digit (7) from the dividend after 83, then repeat: 837 / 669

Let's proceed to step 3:
The number 669 fits into 837 1 times, leaving a remainder of 168.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 168 after subtracting 669 from 837.
Bring next digit (6) of the dividend behind the 168 and repeat the process: 1686 / 669

On to step 4:
669 goes into 1686 2 times with a remainder of 348.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 348 after subtracting 1338 from 1686.
Include the next digit (9) from the dividend after 348, then repeat: 3489 / 669

Let's proceed to step 5:
669 can be fit into 3489 5 times, resulting in a remainder of 144.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Deduct 3345 from 3489 and we're left with 144.
Grab the next digit (1) from the dividend, add it to 144, then carry on: 1441 / 669

Let's proceed to step 6:
1441 divided by 669 is 2 with a remainder of 103.
Record the quotient 2 as the next digit in the result. 
Result so far: 1252.0
The remainder is 103 after subtracting 1338 from 1441.
Grab the next digit (0) from the dividend, add it to 103, then carry on: 1030 / 669

Moving on to step 7:
If we divide 1030 by 669, we get 1 and a remainder of 361.
The next digit of our result is 1. 
Result so far: 12521.0
Deduct 669 from 1030 and we're left with 361.
Grab the next digit (8) from the dividend, add it to 361, then carry on: 3618 / 669

Moving on to step 8:
669 goes into 3618 5 times with a remainder of 273.
Write down 5 as next digit of the result. 
Result so far: 125215.0
If we subtract 3345 from 3618, we get 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Advancing to step 9:
When dividing 2730 by 669, we get 4 with a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 125215.4
Subtract 2676 from 2730 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 10:
540 divided by 669 is 0 with a remainder of 540.
Write down 0 as next digit of the result. 
Result so far: 125215.4
If we take 0 away from 540, we end up with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

On to step 11:
669 goes into 5400 8 times with a remainder of 48.
The next digit of our result is 8. 
Result so far: 125215.408
If we subtract 5352 from 5400, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 12:
When dividing 480 by 669, we get 0 with a remainder of 480.
Record the quotient 0 as the next digit in the result. 
Result so far: 125215.408
If we subtract 0 from 480, we get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Advancing to step 13:
669 goes into 4800 7 times with a remainder of 117.
Write down 7 as next digit of the result. 
Result so far: 125215.40807
Deduct 4683 from 4800 and we're left with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Going ahead to step 14:
669 goes into 1170 1 times with a remainder of 501.
The number 1 becomes the next digit in our result. 
Result so far: 125215.408071
If we take 669 away from 1170, we end up with 501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5010, and continue the process.

Advancing to step 15:
When dividing 5010 by 669, we get 7 with a remainder of 327.
Record the quotient 7 as the next digit in the result. 
Result so far: 125215.4080717
If we take 4683 away from 5010, we end up with 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

On to step 16:
3270 divided by 669 is 4 with a remainder of 594.
Write down 4 as next digit of the result. 
Result so far: 125215.40807174
Subtracting 2676 from 3270 leaves us with 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

In conclusion, the division gives 125215.40807174 with a balance of 5.94e-07.