334711 ÷ 559 
The aim is to understand the frequency of 559 in 334711.

Going ahead to step 1:
When dividing 3 by 559, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 559

Going ahead to step 2:
559 goes into 33 0 times with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 559

Advancing to step 3:
559 goes into 334 0 times with a remainder of 334.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 334 leaves us with 334.
Append the next digit (7) from the dividend to 334 and continue with: 3347 / 559

Let's proceed to step 4:
3347 divided by 559 is 5 with a remainder of 552.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 2795 from 3347 and we're left with 552.
Take the next digit (1) from the dividend and append it to 552, then repeat: 5521 / 559

Step 5:
559 goes into 5521 9 times with a remainder of 490.
The next digit of our result is 9. 
Result so far: 59.0
Deduct 5031 from 5521 and we're left with 490.
Include the next digit (1) from the dividend after 490, then repeat: 4901 / 559

Advancing to step 6:
559 can be fit into 4901 8 times, resulting in a remainder of 429.
Use 8 as the next digit of our solution. 
Result so far: 598.0
If we take 4472 away from 4901, we end up with 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Let's proceed to step 7:
The number 559 fits into 4290 7 times, leaving a remainder of 377.
Record the quotient 7 as the next digit in the result. 
Result so far: 598.7
Subtracting 3913 from 4290 leaves us with 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3770, and continue the process.

Let's proceed to step 8:
When dividing 3770 by 559, we get 6 with a remainder of 416.
Record the quotient 6 as the next digit in the result. 
Result so far: 598.76
Subtracting 3354 from 3770 leaves us with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

On to step 9:
When dividing 4160 by 559, we get 7 with a remainder of 247.
The next digit of our result is 7. 
Result so far: 598.767
Subtracting 3913 from 4160 leaves us with 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Going ahead to step 10:
The number 559 fits into 2470 4 times, leaving a remainder of 234.
The next digit of our result is 4. 
Result so far: 598.7674
If we take 2236 away from 2470, we end up with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Step 11:
The number 559 fits into 2340 4 times, leaving a remainder of 104.
Use 4 as the next digit of our solution. 
Result so far: 598.76744
The remainder is 104 after subtracting 2236 from 2340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

The final outcome is 598.76744, with a leftover of 0.000104.