43503714 ÷ 419 
The aim is to understand the frequency of 419 in 43503714.

Advancing to step 1:
419 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 419

Advancing to step 2:
When dividing 43 by 419, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 419

Moving on to step 3:
419 can be fit into 435 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 419 from 435 leaves us with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 419

Step 4:
The number 419 fits into 160 0 times, leaving a remainder of 160.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 160, we end up with 160.
Bring next digit (3) of the dividend behind the 160 and repeat the process: 1603 / 419

Let's proceed to step 5:
If we divide 1603 by 419, we get 3 and a remainder of 346.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 1257 from 1603 to get 346.
Take the next digit (7) from the dividend and append it to 346, then repeat: 3467 / 419

Going ahead to step 6:
419 can be fit into 3467 8 times, resulting in a remainder of 115.
Use 8 as the next digit of our solution. 
Result so far: 1038.0
Subtract 3352 from 3467 to get 115.
Grab the next digit (1) from the dividend, add it to 115, then carry on: 1151 / 419

Let's proceed to step 7:
419 goes into 1151 2 times with a remainder of 313.
Use 2 as the next digit of our solution. 
Result so far: 10382.0
Subtract 838 from 1151 to get 313.
Append the next digit (4) from the dividend to 313 and continue with: 3134 / 419

Let's proceed to step 8:
The number 419 fits into 3134 7 times, leaving a remainder of 201.
The next digit of our result is 7. 
Result so far: 103827.0
Subtract 2933 from 3134 to get 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Let's proceed to step 9:
2010 divided by 419 is 4 with a remainder of 334.
Record the quotient 4 as the next digit in the result. 
Result so far: 103827.4
Deduct 1676 from 2010 and we're left with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

On to step 10:
419 goes into 3340 7 times with a remainder of 407.
The next digit of our result is 7. 
Result so far: 103827.47
Deduct 2933 from 3340 and we're left with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Let's proceed to step 11:
4070 divided by 419 is 9 with a remainder of 299.
Use 9 as the next digit of our solution. 
Result so far: 103827.479
If we subtract 3771 from 4070, we get 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Let's proceed to step 12:
419 goes into 2990 7 times with a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 103827.4797
Subtract 2933 from 2990 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 13:
When dividing 570 by 419, we get 1 with a remainder of 151.
Record the quotient 1 as the next digit in the result. 
Result so far: 103827.47971
If we subtract 419 from 570, we get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Let's proceed to step 14:
1510 divided by 419 is 3 with a remainder of 253.
Write down 3 as next digit of the result. 
Result so far: 103827.479713
Subtracting 1257 from 1510 leaves us with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Advancing to step 15:
419 goes into 2530 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 103827.4797136
If we subtract 2514 from 2530, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 16:
The number 419 fits into 160 0 times, leaving a remainder of 160.
The number 0 becomes the next digit in our result. 
Result so far: 103827.4797136
Subtracting 0 from 160 leaves us with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

In conclusion, the division gives 103827.4797136 with a balance of 1.6e-07.