709787 ÷ 41 
The aim is to understand the frequency of 41 in 709787.

Let's proceed to step 1:
If we divide 7 by 41, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 41

Moving on to step 2:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 70 leaves us with 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 41

Going ahead to step 3:
41 goes into 299 7 times with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
The remainder is 12 after subtracting 287 from 299.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 41

On to step 4:
41 can be fit into 127 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 173.0
If we subtract 123 from 127, we get 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 41

Step 5:
When dividing 48 by 41, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1731.0
Subtracting 41 from 48 leaves us with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 41

Advancing to step 6:
If we divide 77 by 41, we get 1 and a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 17311.0
If we take 41 away from 77, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
41 goes into 360 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 17311.8
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
The number 41 fits into 320 7 times, leaving a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 17311.87
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
When dividing 330 by 41, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 17311.878
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
If we divide 20 by 41, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17311.878
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
When dividing 200 by 41, we get 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 17311.87804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
If we divide 360 by 41, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 17311.878048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
320 divided by 41 is 7 with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 17311.8780487
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 17311.87804878
Subtract 328 from 330 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 17311.87804878 and a remainder of 2e-09.