1022340 ÷ 309 
The aim is to understand the frequency of 309 in 1022340.

Step 1:
When dividing 1 by 309, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 309

On to step 2:
When dividing 10 by 309, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 309

Moving on to step 3:
If we divide 102 by 309, we get 0 and a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 102, we end up with 102.
Take the next digit (2) from the dividend and append it to 102, then repeat: 1022 / 309

Let's proceed to step 4:
If we divide 1022 by 309, we get 3 and a remainder of 95.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 927 from 1022 to get 95.
Bring next digit (3) of the dividend behind the 95 and repeat the process: 953 / 309

Step 5:
The number 309 fits into 953 3 times, leaving a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
The remainder is 26 after subtracting 927 from 953.
Grab the next digit (4) from the dividend, add it to 26, then carry on: 264 / 309

Going ahead to step 6:
If we divide 264 by 309, we get 0 and a remainder of 264.
Record the quotient 0 as the next digit in the result. 
Result so far: 330.0
If we subtract 0 from 264, we get 264.
Append the next digit (0) from the dividend to 264 and continue with: 2640 / 309

Advancing to step 7:
If we divide 2640 by 309, we get 8 and a remainder of 168.
Use 8 as the next digit of our solution. 
Result so far: 3308.0
If we subtract 2472 from 2640, we get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 8:
1680 divided by 309 is 5 with a remainder of 135.
The number 5 becomes the next digit in our result. 
Result so far: 3308.5
If we subtract 1545 from 1680, we get 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Advancing to step 9:
309 can be fit into 1350 4 times, resulting in a remainder of 114.
The next digit of our result is 4. 
Result so far: 3308.54
If we subtract 1236 from 1350, we get 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Moving on to step 10:
If we divide 1140 by 309, we get 3 and a remainder of 213.
Use 3 as the next digit of our solution. 
Result so far: 3308.543
Subtracting 927 from 1140 leaves us with 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

On to step 11:
When dividing 2130 by 309, we get 6 with a remainder of 276.
Put 6 as the next digit of the answer. 
Result so far: 3308.5436
Subtract 1854 from 2130 to get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Moving on to step 12:
If we divide 2760 by 309, we get 8 and a remainder of 288.
Record the quotient 8 as the next digit in the result. 
Result so far: 3308.54368
Subtracting 2472 from 2760 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.

Going ahead to step 13:
The number 309 fits into 2880 9 times, leaving a remainder of 99.
Put 9 as the next digit of the answer. 
Result so far: 3308.543689
Deduct 2781 from 2880 and we're left with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Step 14:
309 goes into 990 3 times with a remainder of 63.
Record the quotient 3 as the next digit in the result. 
Result so far: 3308.5436893
If we take 927 away from 990, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 15:
309 can be fit into 630 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 3308.54368932
The remainder is 12 after subtracting 618 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 3308.54368932 and a remainder of 1.2e-08.