We're dividing 41735936 by 565 
The aim is to understand the frequency of 565 in 41735936.

Advancing to step 1:
4 divided by 565 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 565

Step 2:
If we divide 41 by 565, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 565

Step 3:
565 goes into 417 0 times with a remainder of 417.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 417 and we're left with 417.
Take the next digit (3) from the dividend and append it to 417, then repeat: 4173 / 565

Going ahead to step 4:
565 can be fit into 4173 7 times, resulting in a remainder of 218.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 3955 from 4173 leaves us with 218.
Fetch the next digit (5) from the dividend, attach it to 218 and continue: 2185 / 565

Advancing to step 5:
2185 divided by 565 is 3 with a remainder of 490.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtract 1695 from 2185 to get 490.
Bring next digit (9) of the dividend behind the 490 and repeat the process: 4909 / 565

Let's proceed to step 6:
565 can be fit into 4909 8 times, resulting in a remainder of 389.
Record the quotient 8 as the next digit in the result. 
Result so far: 738.0
The remainder is 389 after subtracting 4520 from 4909.
Grab the next digit (3) from the dividend, add it to 389, then carry on: 3893 / 565

Advancing to step 7:
565 can be fit into 3893 6 times, resulting in a remainder of 503.
The number 6 becomes the next digit in our result. 
Result so far: 7386.0
If we take 3390 away from 3893, we end up with 503.
Take the next digit (6) from the dividend and append it to 503, then repeat: 5036 / 565

On to step 8:
If we divide 5036 by 565, we get 8 and a remainder of 516.
Record the quotient 8 as the next digit in the result. 
Result so far: 73868.0
The remainder is 516 after subtracting 4520 from 5036.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Moving on to step 9:
565 can be fit into 5160 9 times, resulting in a remainder of 75.
Put 9 as the next digit of the answer. 
Result so far: 73868.9
Subtracting 5085 from 5160 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 10:
When dividing 750 by 565, we get 1 with a remainder of 185.
Record the quotient 1 as the next digit in the result. 
Result so far: 73868.91
The remainder is 185 after subtracting 565 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Let's proceed to step 11:
1850 divided by 565 is 3 with a remainder of 155.
Record the quotient 3 as the next digit in the result. 
Result so far: 73868.913
Subtract 1695 from 1850 to get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Step 12:
If we divide 1550 by 565, we get 2 and a remainder of 420.
Put 2 as the next digit of the answer. 
Result so far: 73868.9132
Subtract 1130 from 1550 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Step 13:
4200 divided by 565 is 7 with a remainder of 245.
Write down 7 as next digit of the result. 
Result so far: 73868.91327
Subtracting 3955 from 4200 leaves us with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Step 14:
565 goes into 2450 4 times with a remainder of 190.
Use 4 as the next digit of our solution. 
Result so far: 73868.913274
Subtract 2260 from 2450 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Advancing to step 15:
565 goes into 1900 3 times with a remainder of 205.
Record the quotient 3 as the next digit in the result. 
Result so far: 73868.9132743
The remainder is 205 after subtracting 1695 from 1900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

Step 16:
When dividing 2050 by 565, we get 3 with a remainder of 355.
Record the quotient 3 as the next digit in the result. 
Result so far: 73868.91327433
Subtracting 1695 from 2050 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

After the division, we end up with 73868.91327433 and a remainder of 3.55e-07.