637975 divided by 41 
The aim is to understand the frequency of 41 in 637975.

On to step 1:
41 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 41

Moving on to step 2:
If we divide 63 by 41, we get 1 and a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 41 from 63 and we're left with 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 41

Let's proceed to step 3:
If we divide 227 by 41, we get 5 and a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Deduct 205 from 227 and we're left with 22.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 41

Moving on to step 4:
41 goes into 229 5 times with a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Subtracting 205 from 229 leaves us with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 41

Advancing to step 5:
If we divide 247 by 41, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 1556.0
Subtract 246 from 247 to get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 41

On to step 6:
41 goes into 15 0 times with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 15560.0
If we subtract 0 from 15, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 15560.3
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
270 divided by 41 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 15560.36
Deduct 246 from 270 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
240 divided by 41 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 15560.365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
When dividing 350 by 41, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 15560.3658
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
If we divide 220 by 41, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15560.36585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 15560.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 13:
41 goes into 270 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 15560.3658536
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
41 goes into 240 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 15560.36585365
Subtracting 205 from 240 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 15560.36585365 with a balance of 3.5e-08.