40107810 ÷ 841 
The aim is to understand the frequency of 841 in 40107810.

Let's proceed to step 1:
The number 841 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 841

On to step 2:
40 divided by 841 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 841

Going ahead to step 3:
If we divide 401 by 841, we get 0 and a remainder of 401.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 401 leaves us with 401.
Fetch the next digit (0) from the dividend, attach it to 401 and continue: 4010 / 841

On to step 4:
If we divide 4010 by 841, we get 4 and a remainder of 646.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 3364 from 4010 leaves us with 646.
Append the next digit (7) from the dividend to 646 and continue with: 6467 / 841

Step 5:
841 goes into 6467 7 times with a remainder of 580.
Use 7 as the next digit of our solution. 
Result so far: 47.0
The remainder is 580 after subtracting 5887 from 6467.
Fetch the next digit (8) from the dividend, attach it to 580 and continue: 5808 / 841

On to step 6:
841 goes into 5808 6 times with a remainder of 762.
The number 6 becomes the next digit in our result. 
Result so far: 476.0
If we subtract 5046 from 5808, we get 762.
Include the next digit (1) from the dividend after 762, then repeat: 7621 / 841

Step 7:
841 can be fit into 7621 9 times, resulting in a remainder of 52.
The number 9 becomes the next digit in our result. 
Result so far: 4769.0
If we take 7569 away from 7621, we end up with 52.
Fetch the next digit (0) from the dividend, attach it to 52 and continue: 520 / 841

Step 8:
If we divide 520 by 841, we get 0 and a remainder of 520.
Write down 0 as next digit of the result. 
Result so far: 47690.0
If we take 0 away from 520, we end up with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Step 9:
If we divide 5200 by 841, we get 6 and a remainder of 154.
Write down 6 as next digit of the result. 
Result so far: 47690.6
The remainder is 154 after subtracting 5046 from 5200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

On to step 10:
When dividing 1540 by 841, we get 1 with a remainder of 699.
Use 1 as the next digit of our solution. 
Result so far: 47690.61
Subtract 841 from 1540 to get 699.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6990, and continue the process.

Moving on to step 11:
If we divide 6990 by 841, we get 8 and a remainder of 262.
Record the quotient 8 as the next digit in the result. 
Result so far: 47690.618
Deduct 6728 from 6990 and we're left with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

On to step 12:
2620 divided by 841 is 3 with a remainder of 97.
Use 3 as the next digit of our solution. 
Result so far: 47690.6183
If we subtract 2523 from 2620, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Step 13:
841 goes into 970 1 times with a remainder of 129.
Use 1 as the next digit of our solution. 
Result so far: 47690.61831
If we take 841 away from 970, we end up with 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

Let's proceed to step 14:
841 goes into 1290 1 times with a remainder of 449.
Record the quotient 1 as the next digit in the result. 
Result so far: 47690.618311
The remainder is 449 after subtracting 841 from 1290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Our division results in 47690.618311 with a remaining 4.49e-05.