176782 ÷ 41 
The aim is to understand the frequency of 41 in 176782.

Moving on to step 1:
41 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 41

Let's proceed to step 2:
If we divide 17 by 41, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 41

Advancing to step 3:
When dividing 176 by 41, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 12 after subtracting 164 from 176.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 41

Step 4:
When dividing 127 by 41, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 43.0
Deduct 123 from 127 and we're left with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 41

Let's proceed to step 5:
41 goes into 48 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 431.0
The remainder is 7 after subtracting 41 from 48.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 41

Going ahead to step 6:
When dividing 72 by 41, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 4311.0
The remainder is 31 after subtracting 41 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
41 goes into 310 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 4311.7
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
41 goes into 230 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4311.75
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 4311.756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
41 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4311.756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
41 goes into 400 9 times with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 4311.75609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
When dividing 310 by 41, we get 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 4311.756097
Subtract 287 from 310 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 13:
When dividing 230 by 41, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4311.7560975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 14:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 4311.75609756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 4311.75609756 with a remaining 4e-09.