4294575 ÷ 338 
The aim is to understand the frequency of 338 in 4294575.

On to step 1:
338 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 338

On to step 2:
The number 338 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Fetch the next digit (9) from the dividend, attach it to 42 and continue: 429 / 338

Let's proceed to step 3:
The number 338 fits into 429 1 times, leaving a remainder of 91.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 338 from 429, we get 91.
Take the next digit (4) from the dividend and append it to 91, then repeat: 914 / 338

Advancing to step 4:
When dividing 914 by 338, we get 2 with a remainder of 238.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 676 from 914 and we're left with 238.
Fetch the next digit (5) from the dividend, attach it to 238 and continue: 2385 / 338

Going ahead to step 5:
When dividing 2385 by 338, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 127.0
If we subtract 2366 from 2385, we get 19.
Bring next digit (7) of the dividend behind the 19 and repeat the process: 197 / 338

Advancing to step 6:
197 divided by 338 is 0 with a remainder of 197.
The next digit of our result is 0. 
Result so far: 1270.0
If we take 0 away from 197, we end up with 197.
Include the next digit (5) from the dividend after 197, then repeat: 1975 / 338

Moving on to step 7:
If we divide 1975 by 338, we get 5 and a remainder of 285.
Put 5 as the next digit of the answer. 
Result so far: 12705.0
Deduct 1690 from 1975 and we're left with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Step 8:
When dividing 2850 by 338, we get 8 with a remainder of 146.
Use 8 as the next digit of our solution. 
Result so far: 12705.8
The remainder is 146 after subtracting 2704 from 2850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

On to step 9:
1460 divided by 338 is 4 with a remainder of 108.
The next digit of our result is 4. 
Result so far: 12705.84
If we subtract 1352 from 1460, we get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Moving on to step 10:
If we divide 1080 by 338, we get 3 and a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 12705.843
Deduct 1014 from 1080 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 11:
The number 338 fits into 660 1 times, leaving a remainder of 322.
Write down 1 as next digit of the result. 
Result so far: 12705.8431
Subtracting 338 from 660 leaves us with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Let's proceed to step 12:
338 goes into 3220 9 times with a remainder of 178.
Record the quotient 9 as the next digit in the result. 
Result so far: 12705.84319
Deduct 3042 from 3220 and we're left with 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Step 13:
338 can be fit into 1780 5 times, resulting in a remainder of 90.
Use 5 as the next digit of our solution. 
Result so far: 12705.843195
Subtracting 1690 from 1780 leaves us with 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 14:
900 divided by 338 is 2 with a remainder of 224.
The next digit of our result is 2. 
Result so far: 12705.8431952
If we subtract 676 from 900, we get 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Advancing to step 15:
338 goes into 2240 6 times with a remainder of 212.
The number 6 becomes the next digit in our result. 
Result so far: 12705.84319526
If we take 2028 away from 2240, we end up with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Our division results in 12705.84319526 with a remaining 2.12e-07.