We're dividing 876683 by 41 
The aim is to understand the frequency of 41 in 876683.

On to step 1:
The number 41 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 41

Advancing to step 2:
41 can be fit into 87 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 82 from 87 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 41

Advancing to step 3:
41 can be fit into 56 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 41 from 56, we get 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 41

Advancing to step 4:
When dividing 156 by 41, we get 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 213.0
Subtract 123 from 156 to get 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 41

Step 5:
41 goes into 338 8 times with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 2138.0
Subtracting 328 from 338 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 41

On to step 6:
103 divided by 41 is 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 21382.0
If we take 82 away from 103, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
When dividing 210 by 41, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 21382.5
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 41, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 21382.51
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 21382.512
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
If we divide 80 by 41, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 21382.5121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 11:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 21382.51219
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 12:
When dividing 210 by 41, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21382.512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 21382.5121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 21382.51219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 21382.51219512, and the remainder is 8e-09.