41089375 ÷ 471 
The aim is to understand the frequency of 471 in 41089375.

Moving on to step 1:
When dividing 4 by 471, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 471

Going ahead to step 2:
471 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 471

Going ahead to step 3:
471 can be fit into 410 0 times, resulting in a remainder of 410.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 410 and we're left with 410.
Fetch the next digit (8) from the dividend, attach it to 410 and continue: 4108 / 471

Moving on to step 4:
If we divide 4108 by 471, we get 8 and a remainder of 340.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 3768 from 4108 to get 340.
Include the next digit (9) from the dividend after 340, then repeat: 3409 / 471

Step 5:
When dividing 3409 by 471, we get 7 with a remainder of 112.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtracting 3297 from 3409 leaves us with 112.
Append the next digit (3) from the dividend to 112 and continue with: 1123 / 471

Moving on to step 6:
If we divide 1123 by 471, we get 2 and a remainder of 181.
Put 2 as the next digit of the answer. 
Result so far: 872.0
The remainder is 181 after subtracting 942 from 1123.
Take the next digit (7) from the dividend and append it to 181, then repeat: 1817 / 471

Going ahead to step 7:
If we divide 1817 by 471, we get 3 and a remainder of 404.
Put 3 as the next digit of the answer. 
Result so far: 8723.0
If we take 1413 away from 1817, we end up with 404.
Append the next digit (5) from the dividend to 404 and continue with: 4045 / 471

Let's proceed to step 8:
When dividing 4045 by 471, we get 8 with a remainder of 277.
Use 8 as the next digit of our solution. 
Result so far: 87238.0
Subtracting 3768 from 4045 leaves us with 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Going ahead to step 9:
471 can be fit into 2770 5 times, resulting in a remainder of 415.
Put 5 as the next digit of the answer. 
Result so far: 87238.5
If we subtract 2355 from 2770, we get 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Advancing to step 10:
471 goes into 4150 8 times with a remainder of 382.
The next digit of our result is 8. 
Result so far: 87238.58
Subtract 3768 from 4150 to get 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Going ahead to step 11:
471 can be fit into 3820 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 87238.588
If we subtract 3768 from 3820, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 87238.588 with a balance of 0.0052.