We divide 693340 by 41
The aim is to understand the frequency of 41 in 693340.

On to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 41

On to step 2:
41 goes into 69 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 69 to get 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 41

Going ahead to step 3:
When dividing 283 by 41, we get 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 246 from 283 to get 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 41

Moving on to step 4:
When dividing 373 by 41, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 169.0
Subtracting 369 from 373 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 41

Step 5:
The number 41 fits into 44 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1691.0
If we subtract 41 from 44, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 41

Advancing to step 6:
When dividing 30 by 41, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 16910.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 16910.7
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
When dividing 130 by 41, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 16910.73
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 41, we get 1 and a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 16910.731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 10:
When dividing 290 by 41, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 16910.7317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 16910.7317
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
41 goes into 300 7 times with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 16910.731707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 13:
If we divide 130 by 41, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 16910.7317073
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
41 goes into 70 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 16910.73170731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 16910.73170731 with a remaining 2.9e-08.