859961 ÷ 41 
The aim is to understand the frequency of 41 in 859961.

Step 1:
If we divide 8 by 41, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 41

Step 2:
85 divided by 41 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 82 from 85 leaves us with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 41

Moving on to step 3:
When dividing 39 by 41, we get 0 with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 39, we end up with 39.
Bring next digit (9) of the dividend behind the 39 and repeat the process: 399 / 41

On to step 4:
41 can be fit into 399 9 times, resulting in a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 209.0
Subtract 369 from 399 to get 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 41

Let's proceed to step 5:
When dividing 306 by 41, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 2097.0
The remainder is 19 after subtracting 287 from 306.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 41

Going ahead to step 6:
The number 41 fits into 191 4 times, leaving a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 20974.0
Subtract 164 from 191 to 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.

Moving on to step 7:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 20974.6
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.

Going ahead to step 8:
240 divided by 41 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 20974.65
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.

Going ahead to step 9:
When dividing 350 by 41, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 20974.658
Deduct 328 from 350 and we're left 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.

Going ahead to step 10:
If we divide 220 by 41, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 20974.6585
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 20974.65853
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.

Step 12:
When dividing 270 by 41, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 20974.658536
If we subtract 246 from 270, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
When dividing 240 by 41, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 20974.6585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 14:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 20974.65853658
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 20974.65853658, and the remainder is 2.2e-08.