115829 ÷ 58 
The aim is to understand the frequency of 58 in 115829.

Moving on to step 1:
58 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 58

Let's proceed to step 2:
11 divided by 58 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 58

On to step 3:
58 goes into 115 1 times with a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 58 away from 115, we end up with 57.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 58

Step 4:
58 goes into 578 9 times with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 522 away from 578, we end up with 56.
Take the next digit (2) from the dividend and append it to 56, then repeat: 562 / 58

On to step 5:
58 can be fit into 562 9 times, resulting in a remainder of 40.
The next digit of our result is 9. 
Result so far: 199.0
Deduct 522 from 562 and we're left with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 58

Moving on to step 6:
58 goes into 409 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 1997.0
If we subtract 406 from 409, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
58 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 1997.0
Subtracting 0 from 30 leaves us with 30.
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 8:
300 divided by 58 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1997.05
Deduct 290 from 300 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
The number 58 fits into 100 1 times, leaving a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1997.051
Deduct 58 from 100 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
420 divided by 58 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 1997.0517
If we take 406 away from 420, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
58 can be fit into 140 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 1997.05172
If we take 116 away from 140, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
58 can be fit into 240 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 1997.051724
If we subtract 232 from 240, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
If we divide 80 by 58, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1997.0517241
Subtract 58 from 80 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
If we divide 220 by 58, we get 3 and a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 1997.05172413
Subtract 174 from 220 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Our division results in 1997.05172413 with a remaining 4.6e-08.