507736 ÷ 41 
The aim is to understand the frequency of 41 in 507736.

On to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 41

Going ahead to step 2:
41 goes into 50 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 50, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 41

Let's proceed to step 3:
If we divide 97 by 41, we get 2 and a remainder of 15.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 82 from 97 and we're left with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 41

Going ahead to step 4:
If we divide 157 by 41, we get 3 and a remainder of 34.
The next digit of our result is 3. 
Result so far: 123.0
If we subtract 123 from 157, we get 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 41

Advancing to step 5:
41 goes into 343 8 times with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 1238.0
Subtracting 328 from 343 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 41

Advancing to step 6:
41 goes into 156 3 times with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 12383.0
Subtracting 123 from 156 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.

On to step 7:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 12383.8
The remainder is 2 after subtracting 328 from 330.
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 8:
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: 12383.8
If we take 0 away from 20, we end up with 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 9:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 12383.804
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.

Advancing to step 10:
When dividing 360 by 41, we get 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 12383.8048
Deduct 328 from 360 and we're left with 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 11:
If we divide 320 by 41, we get 7 and a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 12383.80487
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.

Step 12:
The number 41 fits into 330 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 12383.804878
Subtracting 328 from 330 leaves us 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.

On to step 13:
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: 12383.804878
If we subtract 0 from 20, we 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.

Going ahead to step 14:
When dividing 200 by 41, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 12383.80487804
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 12383.80487804, and the remainder is 3.6e-08.