413688 ÷ 72 
We're looking to find how many times 72 goes into 413688.

Moving on to step 1:
When dividing 4 by 72, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
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 / 72

On to step 2:
The number 72 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 72

Going ahead to step 3:
413 divided by 72 is 5 with a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 360 from 413 leaves us with 53.
Include the next digit (6) from the dividend after 53, then repeat: 536 / 72

Advancing to step 4:
536 divided by 72 is 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 57.0
Subtracting 504 from 536 leaves us with 32.
Grab the next digit (8) from the dividend, add it to 32, then carry on: 328 / 72

Moving on to step 5:
If we divide 328 by 72, we get 4 and a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 574.0
If we subtract 288 from 328, we get 40.
Take the next digit (8) from the dividend and append it to 40, then repeat: 408 / 72

Step 6:
72 can be fit into 408 5 times, resulting in a remainder of 48.
Put 5 as the next digit of the answer. 
Result so far: 5745.0
If we take 360 away from 408, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
The number 72 fits into 480 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 5745.6
Subtracting 432 from 480 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 8:
72 can be fit into 480 6 times, resulting in a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 5745.66
If we take 432 away from 480, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Our division results in 5745.66 with a remaining 0.048.