10997781 divided by 421 
The aim is to understand the frequency of 421 in 10997781.

Step 1:
The number 421 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 421

Going ahead to step 2:
10 divided by 421 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 421

On to step 3:
When dividing 109 by 421, we get 0 with a remainder of 109.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 109 after subtracting 0 from 109.
Append the next digit (9) from the dividend to 109 and continue with: 1099 / 421

On to step 4:
421 can be fit into 1099 2 times, resulting in a remainder of 257.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 842 from 1099, we get 257.
Include the next digit (7) from the dividend after 257, then repeat: 2577 / 421

On to step 5:
If we divide 2577 by 421, we get 6 and a remainder of 51.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Deduct 2526 from 2577 and we're left with 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 421

Moving on to step 6:
517 divided by 421 is 1 with a remainder of 96.
Write down 1 as next digit of the result. 
Result so far: 261.0
Subtracting 421 from 517 leaves us with 96.
Bring next digit (8) of the dividend behind the 96 and repeat the process: 968 / 421

Step 7:
968 divided by 421 is 2 with a remainder of 126.
Put 2 as the next digit of the answer. 
Result so far: 2612.0
Subtracting 842 from 968 leaves us with 126.
Bring next digit (1) of the dividend behind the 126 and repeat the process: 1261 / 421

Step 8:
421 goes into 1261 2 times with a remainder of 419.
The next digit of our result is 2. 
Result so far: 26122.0
The remainder is 419 after subtracting 842 from 1261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

On to step 9:
421 can be fit into 4190 9 times, resulting in a remainder of 401.
Put 9 as the next digit of the answer. 
Result so far: 26122.9
If we take 3789 away from 4190, we end up with 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

Going ahead to step 10:
421 can be fit into 4010 9 times, resulting in a remainder of 221.
The number 9 becomes the next digit in our result. 
Result so far: 26122.99
Deduct 3789 from 4010 and we're left with 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

In conclusion, the division gives 26122.99 with a balance of 0.221.