10282301 divided by 941 
The aim is to understand the frequency of 941 in 10282301.

Advancing to step 1:
When dividing 1 by 941, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 941

Let's proceed to step 2:
If we divide 10 by 941, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 941

Step 3:
102 divided by 941 is 0 with a remainder of 102.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 102 and we're left with 102.
Fetch the next digit (8) from the dividend, attach it to 102 and continue: 1028 / 941

Step 4:
The number 941 fits into 1028 1 times, leaving a remainder of 87.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 941 from 1028 leaves us with 87.
Append the next digit (2) from the dividend to 87 and continue with: 872 / 941

Let's proceed to step 5:
The number 941 fits into 872 0 times, leaving a remainder of 872.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 872 leaves us with 872.
Grab the next digit (3) from the dividend, add it to 872, then carry on: 8723 / 941

Let's proceed to step 6:
941 goes into 8723 9 times with a remainder of 254.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
If we take 8469 away from 8723, we end up with 254.
Append the next digit (0) from the dividend to 254 and continue with: 2540 / 941

Moving on to step 7:
When dividing 2540 by 941, we get 2 with a remainder of 658.
Put 2 as the next digit of the answer. 
Result so far: 1092.0
If we subtract 1882 from 2540, we get 658.
Append the next digit (1) from the dividend to 658 and continue with: 6581 / 941

Advancing to step 8:
941 can be fit into 6581 6 times, resulting in a remainder of 935.
Write down 6 as next digit of the result. 
Result so far: 10926.0
Subtracting 5646 from 6581 leaves us with 935.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9350, and continue the process.

Going ahead to step 9:
941 can be fit into 9350 9 times, resulting in a remainder of 881.
The number 9 becomes the next digit in our result. 
Result so far: 10926.9
Subtracting 8469 from 9350 leaves us with 881.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8810, and continue the process.

Let's proceed to step 10:
When dividing 8810 by 941, we get 9 with a remainder of 341.
Write down 9 as next digit of the result. 
Result so far: 10926.99
Subtracting 8469 from 8810 leaves us with 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

The quotient of the division is 10926.99, and the remainder is 0.341.