We look at the division of 413507 by 16 
We want to figure out the number of times 413507 can be divided by 16.

Moving on to step 1:
4 divided by 16 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 16

Let's proceed to step 2:
If we divide 41 by 16, we get 2 and a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 32 from 41 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 16

On to step 3:
16 can be fit into 93 5 times, resulting in a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 25.0
The remainder is 13 after subtracting 80 from 93.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 16

On to step 4:
16 can be fit into 135 8 times, resulting in a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 258.0
If we take 128 away from 135, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 16

Let's proceed to step 5:
16 can be fit into 70 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 2584.0
The remainder is 6 after subtracting 64 from 70.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 16

On to step 6:
67 divided by 16 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 25844.0
Subtract 64 from 67 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 16 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 25844.1
Subtract 16 from 30 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
140 divided by 16 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 25844.18
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 25844.187
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
80 divided by 16 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 25844.1875
If we subtract 80 from 80, 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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 25844.1875
If we take 0 away from 0, we end up 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 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 25844.1875
Subtract 0 from 0 to 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.

In conclusion, the division gives 25844.1875 with a balance of 0.0.