301378 divided by 41 
The aim is to understand the frequency of 41 in 301378.

On to step 1:
3 divided by 41 is 0 with 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.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 41

On to step 2:
If we divide 30 by 41, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 41

Step 3:
If we divide 301 by 41, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 287 from 301 to get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 41

Going ahead to step 4:
When dividing 143 by 41, we get 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we subtract 123 from 143, we get 20.
Bring next digit (7) of the dividend behind the 20 and repeat the process: 207 / 41

Step 5:
The number 41 fits into 207 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 735.0
If we subtract 205 from 207, we get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 41

Let's proceed to step 6:
When dividing 28 by 41, we get 0 with a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 7350.0
Subtracting 0 from 28 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
When dividing 280 by 41, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7350.6
Deduct 246 from 280 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
41 goes into 340 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 7350.68
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
41 can be fit into 120 2 times, resulting in a remainder of 38.
The next digit of our result is 2. 
Result so far: 7350.682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
If we divide 380 by 41, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 7350.6829
Subtracting 369 from 380 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
When dividing 110 by 41, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 7350.68292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
41 goes into 280 6 times with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7350.682926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
When dividing 340 by 41, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 7350.6829268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
The number 41 fits into 120 2 times, leaving a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 7350.68292682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 7350.68292682 and a remainder of 3.8e-08.