338627 ÷ 605 
The aim is to understand the frequency of 605 in 338627.

On to step 1:
The number 605 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 605

Moving on to step 2:
605 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 605

Step 3:
If we divide 338 by 605, we get 0 and a remainder of 338.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 338, we get 338.
Take the next digit (6) from the dividend and append it to 338, then repeat: 3386 / 605

On to step 4:
The number 605 fits into 3386 5 times, leaving a remainder of 361.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 3025 from 3386 leaves us with 361.
Fetch the next digit (2) from the dividend, attach it to 361 and continue: 3612 / 605

Let's proceed to step 5:
The number 605 fits into 3612 5 times, leaving a remainder of 587.
The next digit of our result is 5. 
Result so far: 55.0
If we take 3025 away from 3612, we end up with 587.
Grab the next digit (7) from the dividend, add it to 587, then carry on: 5877 / 605

Moving on to step 6:
If we divide 5877 by 605, we get 9 and a remainder of 432.
Put 9 as the next digit of the answer. 
Result so far: 559.0
Subtract 5445 from 5877 to get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Going ahead to step 7:
When dividing 4320 by 605, we get 7 with a remainder of 85.
Use 7 as the next digit of our solution. 
Result so far: 559.7
Subtracting 4235 from 4320 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 8:
When dividing 850 by 605, we get 1 with a remainder of 245.
Write down 1 as next digit of the result. 
Result so far: 559.71
Subtracting 605 from 850 leaves us with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Going ahead to step 9:
When dividing 2450 by 605, we get 4 with a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 559.714
The remainder is 30 after subtracting 2420 from 2450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
300 divided by 605 is 0 with a remainder of 300.
Write down 0 as next digit of the result. 
Result so far: 559.714
Subtract 0 from 300 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Let's proceed to step 11:
If we divide 3000 by 605, we get 4 and a remainder of 580.
Use 4 as the next digit of our solution. 
Result so far: 559.71404
If we subtract 2420 from 3000, we get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Step 12:
When dividing 5800 by 605, we get 9 with a remainder of 355.
The next digit of our result is 9. 
Result so far: 559.714049
If we subtract 5445 from 5800, we get 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Going ahead to step 13:
3550 divided by 605 is 5 with a remainder of 525.
The number 5 becomes the next digit in our result. 
Result so far: 559.7140495
If we subtract 3025 from 3550, we get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Step 14:
605 can be fit into 5250 8 times, resulting in a remainder of 410.
Write down 8 as next digit of the result. 
Result so far: 559.71404958
Deduct 4840 from 5250 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

In conclusion, the division gives 559.71404958 with a balance of 4.1e-07.