10381888 ÷ 419 
The aim is to understand the frequency of 419 in 10381888.

Moving on to step 1:
When dividing 1 by 419, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 419

Let's proceed to step 2:
10 divided by 419 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 419

Advancing to step 3:
When dividing 103 by 419, we get 0 with a remainder of 103.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 103, we end up with 103.
Include the next digit (8) from the dividend after 103, then repeat: 1038 / 419

Step 4:
The number 419 fits into 1038 2 times, leaving a remainder of 200.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 838 from 1038 to get 200.
Take the next digit (1) from the dividend and append it to 200, then repeat: 2001 / 419

Advancing to step 5:
When dividing 2001 by 419, we get 4 with a remainder of 325.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 325 after subtracting 1676 from 2001.
Grab the next digit (8) from the dividend, add it to 325, then carry on: 3258 / 419

Going ahead to step 6:
The number 419 fits into 3258 7 times, leaving a remainder of 325.
Record the quotient 7 as the next digit in the result. 
Result so far: 247.0
Subtracting 2933 from 3258 leaves us with 325.
Take the next digit (8) from the dividend and append it to 325, then repeat: 3258 / 419

Let's proceed to step 7:
419 can be fit into 3258 7 times, resulting in a remainder of 325.
The number 7 becomes the next digit in our result. 
Result so far: 2477.0
Deduct 2933 from 3258 and we're left with 325.
Fetch the next digit (8) from the dividend, attach it to 325 and continue: 3258 / 419

Going ahead to step 8:
419 can be fit into 3258 7 times, resulting in a remainder of 325.
Record the quotient 7 as the next digit in the result. 
Result so far: 24777.0
Subtract 2933 from 3258 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Step 9:
If we divide 3250 by 419, we get 7 and a remainder of 317.
Put 7 as the next digit of the answer. 
Result so far: 24777.7
The remainder is 317 after subtracting 2933 from 3250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

Step 10:
3170 divided by 419 is 7 with a remainder of 237.
The next digit of our result is 7. 
Result so far: 24777.77
If we take 2933 away from 3170, we end up with 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

The final outcome is 24777.77, with a leftover of 0.237.