We're dividing 412109 by 59 
The aim is to understand the frequency of 59 in 412109.

Advancing to step 1:
When dividing 4 by 59, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 59

Going ahead to step 2:
The number 59 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 59

Step 3:
59 can be fit into 412 6 times, resulting in a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 354 from 412 and we're left with 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 59

Let's proceed to step 4:
59 can be fit into 581 9 times, resulting in a remainder of 50.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
If we take 531 away from 581, we end up with 50.
Bring next digit (0) of the dividend behind the 50 and repeat the process: 500 / 59

Going ahead to step 5:
The number 59 fits into 500 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 698.0
The remainder is 28 after subtracting 472 from 500.
Bring next digit (9) of the dividend behind the 28 and repeat the process: 289 / 59

Going ahead to step 6:
59 can be fit into 289 4 times, resulting in a remainder of 53.
Put 4 as the next digit of the answer. 
Result so far: 6984.0
If we subtract 236 from 289, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
If we divide 530 by 59, we get 8 and a remainder of 58.
Write down 8 as next digit of the result. 
Result so far: 6984.8
The remainder is 58 after subtracting 472 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
When dividing 580 by 59, we get 9 with a remainder of 49.
Put 9 as the next digit of the answer. 
Result so far: 6984.89
Subtract 531 from 580 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 9:
59 can be fit into 490 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 6984.898
The remainder is 18 after subtracting 472 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
59 goes into 180 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 6984.8983
Deduct 177 from 180 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
59 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 6984.8983
If we take 0 away from 30, we end up 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 12:
If we divide 300 by 59, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6984.898305
If we take 295 away from 300, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
If we divide 50 by 59, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 6984.898305
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
59 goes into 500 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 6984.89830508
Subtract 472 from 500 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 6984.89830508 with a balance of 2.8e-08.