10971292 ÷ 319 
The aim is to understand the frequency of 319 in 10971292.

Going ahead to step 1:
When dividing 1 by 319, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 319

Going ahead to step 2:
319 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 319

Going ahead to step 3:
When dividing 109 by 319, we get 0 with a remainder of 109.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 109 leaves us with 109.
Append the next digit (7) from the dividend to 109 and continue with: 1097 / 319

Step 4:
If we divide 1097 by 319, we get 3 and a remainder of 140.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 957 from 1097 and we're left with 140.
Append the next digit (1) from the dividend to 140 and continue with: 1401 / 319

Moving on to step 5:
If we divide 1401 by 319, we get 4 and a remainder of 125.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
Subtract 1276 from 1401 to get 125.
Grab the next digit (2) from the dividend, add it to 125, then carry on: 1252 / 319

Advancing to step 6:
319 goes into 1252 3 times with a remainder of 295.
Write down 3 as next digit of the result. 
Result so far: 343.0
If we take 957 away from 1252, we end up with 295.
Bring next digit (9) of the dividend behind the 295 and repeat the process: 2959 / 319

Let's proceed to step 7:
When dividing 2959 by 319, we get 9 with a remainder of 88.
Use 9 as the next digit of our solution. 
Result so far: 3439.0
Subtracting 2871 from 2959 leaves us with 88.
Append the next digit (2) from the dividend to 88 and continue with: 882 / 319

Moving on to step 8:
If we divide 882 by 319, we get 2 and a remainder of 244.
Use 2 as the next digit of our solution. 
Result so far: 34392.0
Deduct 638 from 882 and we're left with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Moving on to step 9:
319 goes into 2440 7 times with a remainder of 207.
Put 7 as the next digit of the answer. 
Result so far: 34392.7
The remainder is 207 after subtracting 2233 from 2440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Moving on to step 10:
If we divide 2070 by 319, we get 6 and a remainder of 156.
The number 6 becomes the next digit in our result. 
Result so far: 34392.76
Deduct 1914 from 2070 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

On to step 11:
319 goes into 1560 4 times with a remainder of 284.
Use 4 as the next digit of our solution. 
Result so far: 34392.764
Deduct 1276 from 1560 and we're left with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Going ahead to step 12:
319 can be fit into 2840 8 times, resulting in a remainder of 288.
Write down 8 as next digit of the result. 
Result so far: 34392.7648
Subtracting 2552 from 2840 leaves us with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Let's proceed to step 13:
2880 divided by 319 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 34392.76489
If we subtract 2871 from 2880, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 14:
If we divide 90 by 319, we get 0 and a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 34392.76489
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 15:
319 goes into 900 2 times with a remainder of 262.
Put 2 as the next digit of the answer. 
Result so far: 34392.7648902
If we subtract 638 from 900, we get 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Going ahead to step 16:
2620 divided by 319 is 8 with a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 34392.76489028
Deduct 2552 from 2620 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 34392.76489028 with a remainder of 6.8e-08.