We look at the division of 31090719 by 669 
The aim is to understand the frequency of 669 in 31090719.

Let's proceed to step 1:
When dividing 3 by 669, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 669

Moving on to step 2:
31 divided by 669 is 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 669

Let's proceed to step 3:
669 goes into 310 0 times with a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 310, we get 310.
Include the next digit (9) from the dividend after 310, then repeat: 3109 / 669

Moving on to step 4:
If we divide 3109 by 669, we get 4 and a remainder of 433.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 2676 from 3109 leaves us with 433.
Fetch the next digit (0) from the dividend, attach it to 433 and continue: 4330 / 669

Let's proceed to step 5:
If we divide 4330 by 669, we get 6 and a remainder of 316.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
Subtracting 4014 from 4330 leaves us with 316.
Bring next digit (7) of the dividend behind the 316 and repeat the process: 3167 / 669

Let's proceed to step 6:
The number 669 fits into 3167 4 times, leaving a remainder of 491.
Use 4 as the next digit of our solution. 
Result so far: 464.0
If we subtract 2676 from 3167, we get 491.
Fetch the next digit (1) from the dividend, attach it to 491 and continue: 4911 / 669

Step 7:
When dividing 4911 by 669, we get 7 with a remainder of 228.
The number 7 becomes the next digit in our result. 
Result so far: 4647.0
If we subtract 4683 from 4911, we get 228.
Bring next digit (9) of the dividend behind the 228 and repeat the process: 2289 / 669

Step 8:
When dividing 2289 by 669, we get 3 with a remainder of 282.
Record the quotient 3 as the next digit in the result. 
Result so far: 46473.0
If we take 2007 away from 2289, we end up with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Step 9:
2820 divided by 669 is 4 with a remainder of 144.
Use 4 as the next digit of our solution. 
Result so far: 46473.4
If we take 2676 away from 2820, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Moving on to step 10:
1440 divided by 669 is 2 with a remainder of 102.
Put 2 as the next digit of the answer. 
Result so far: 46473.42
The remainder is 102 after subtracting 1338 from 1440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 11:
When dividing 1020 by 669, we get 1 with a remainder of 351.
Use 1 as the next digit of our solution. 
Result so far: 46473.421
The remainder is 351 after subtracting 669 from 1020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

Moving on to step 12:
When dividing 3510 by 669, we get 5 with a remainder of 165.
Put 5 as the next digit of the answer. 
Result so far: 46473.4215
Deduct 3345 from 3510 and we're left with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Going ahead to step 13:
If we divide 1650 by 669, we get 2 and a remainder of 312.
Use 2 as the next digit of our solution. 
Result so far: 46473.42152
Subtracting 1338 from 1650 leaves us with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

On to step 14:
669 can be fit into 3120 4 times, resulting in a remainder of 444.
Put 4 as the next digit of the answer. 
Result so far: 46473.421524
Subtract 2676 from 3120 to get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Going ahead to step 15:
669 goes into 4440 6 times with a remainder of 426.
The number 6 becomes the next digit in our result. 
Result so far: 46473.4215246
If we take 4014 away from 4440, we end up with 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Step 16:
4260 divided by 669 is 6 with a remainder of 246.
Use 6 as the next digit of our solution. 
Result so far: 46473.42152466
If we take 4014 away from 4260, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

The final outcome is 46473.42152466, with a leftover of 2.46e-07.