259012 divided by 41 
The aim is to understand the frequency of 41 in 259012.

Going ahead to step 1:
If we divide 2 by 41, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 41

Let's proceed to step 2:
41 goes into 25 0 times with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 41

Let's proceed to step 3:
When dividing 259 by 41, we get 6 with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 246 from 259 to get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 41

On to step 4:
When dividing 130 by 41, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 7 after subtracting 123 from 130.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 41

Going ahead to step 5:
41 can be fit into 71 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 631.0
If we subtract 41 from 71, we get 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 41

On to step 6:
When dividing 302 by 41, we get 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 6317.0
If we subtract 287 from 302, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 6317.3
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
270 divided by 41 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6317.36
Deduct 246 from 270 and we're left 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 9:
41 goes into 240 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 6317.365
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 10:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 6317.3658
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 6317.36585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 6317.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 6317.3658536
If we subtract 246 from 270, we get 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 14:
When dividing 240 by 41, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6317.36585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 6317.36585365 with a remainder of 3.5e-08.