157047 ÷ 41 
The aim is to understand the frequency of 41 in 157047.

Step 1:
41 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 41

On to step 2:
41 can be fit into 15 0 times, resulting in a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 41

Let's proceed to step 3:
The number 41 fits into 157 3 times, leaving a remainder of 34.
The next digit of our result is 3. 
Result so far: 3.0
If we take 123 away from 157, we end up with 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 41

On to step 4:
340 divided by 41 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Subtract 328 from 340 to get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 41

Advancing to step 5:
When dividing 124 by 41, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 383.0
Deduct 123 from 124 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 41

Going ahead to step 6:
If we divide 17 by 41, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 3830.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
170 divided by 41 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 3830.4
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
41 goes into 60 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 3830.41
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 9:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 3830.414
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 3830.4146
If we take 246 away from 260, 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.

Going ahead to step 11:
When dividing 140 by 41, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 3830.41463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 12:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 3830.414634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
The number 41 fits into 60 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 3830.4146341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
When dividing 190 by 41, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 3830.41463414
If we take 164 away from 190, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 3830.41463414 with a balance of 2.6e-08.