419416 ÷ 32 
The aim is to understand the frequency of 32 in 419416.

Step 1:
The number 32 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 32

On to step 2:
If we divide 41 by 32, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 32 from 41, we get 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 32

Moving on to step 3:
32 can be fit into 99 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 96 away from 99, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 32

Advancing to step 4:
32 goes into 34 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 131.0
Subtracting 32 from 34 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 32

Moving on to step 5:
If we divide 21 by 32, we get 0 and a remainder of 21.
The next digit of our result is 0. 
Result so far: 1310.0
Subtracting 0 from 21 leaves us with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 32

Going ahead to step 6:
If we divide 216 by 32, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 13106.0
Deduct 192 from 216 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
32 goes into 240 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 13106.7
Subtract 224 from 240 to 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 8:
When dividing 160 by 32, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 13106.75
If we subtract 160 from 160, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 32, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13106.75
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 32, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13106.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 13106.75 with a balance of 0.0.