We look at the division of 803408 by 72 
We want to figure out the number of times 803408 can be divided by 72.

Advancing to step 1:
72 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 72

On to step 2:
72 goes into 80 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 72 from 80 to get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 72

Moving on to step 3:
72 goes into 83 1 times with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 72 from 83 and we're left with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 72

Let's proceed to step 4:
The number 72 fits into 114 1 times, leaving a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 111.0
If we take 72 away from 114, we end up with 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 72

On to step 5:
When dividing 420 by 72, we get 5 with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 1115.0
If we subtract 360 from 420, we get 60.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 72

Advancing to step 6:
If we divide 608 by 72, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 11158.0
If we subtract 576 from 608, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
72 goes into 320 4 times with a remainder of 32.
The next digit of our result is 4. 
Result so far: 11158.4
Subtracting 288 from 320 leaves us 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.

Advancing to step 8:
The number 72 fits into 320 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 11158.44
Subtract 288 from 320 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 11158.44 and a remainder of 0.032.