413742 ÷ 72 
Our goal is to divide 413742 by 72.

On to step 1:
When dividing 4 by 72, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 72

Step 2:
41 divided by 72 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 72

Let's proceed to step 3:
When dividing 413 by 72, we get 5 with a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 360 away from 413, we end up with 53.
Append the next digit (7) from the dividend to 53 and continue with: 537 / 72

Step 4:
537 divided by 72 is 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we take 504 away from 537, we end up with 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 72

Step 5:
When dividing 334 by 72, we get 4 with a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 574.0
If we subtract 288 from 334, we get 46.
Grab the next digit (2) from the dividend, add it to 46, then carry on: 462 / 72

On to step 6:
72 can be fit into 462 6 times, resulting in a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 5746.0
Subtracting 432 from 462 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
When dividing 300 by 72, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 5746.4
If we subtract 288 from 300, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 72, we get 1 with a remainder of 48.
The next digit of our result is 1. 
Result so far: 5746.41
Subtracting 72 from 120 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.

Going ahead to step 9:
480 divided by 72 is 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 5746.416
Deduct 432 from 480 and we're left 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 10:
72 goes into 480 6 times with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 5746.4166
If we subtract 432 from 480, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 5746.4166 with a balance of 0.00048.