416819 ÷ 46 
The aim is to understand the frequency of 46 in 416819.

Step 1:
4 divided by 46 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 46

Advancing to step 2:
When dividing 41 by 46, we get 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 46

Advancing to step 3:
416 divided by 46 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 414 from 416 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 46

Let's proceed to step 4:
28 divided by 46 is 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 90.0
The remainder is 28 after subtracting 0 from 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 46

On to step 5:
When dividing 281 by 46, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 906.0
Deduct 276 from 281 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 46

Advancing to step 6:
46 goes into 59 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 9061.0
If we subtract 46 from 59, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 46, we get 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 9061.2
Deduct 92 from 130 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
46 can be fit into 380 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 9061.28
If we take 368 away from 380, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
The number 46 fits into 120 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 9061.282
The remainder is 28 after subtracting 92 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
280 divided by 46 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 9061.2826
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
If we divide 40 by 46, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 9061.2826
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
The number 46 fits into 400 8 times, leaving a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 9061.282608
If we take 368 away from 400, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
The number 46 fits into 320 6 times, leaving a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 9061.2826086
Deduct 276 from 320 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 14:
The number 46 fits into 440 9 times, leaving a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 9061.28260869
Deduct 414 from 440 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 9061.28260869, and the remainder is 2.6e-08.