307972 ÷ 72 
Our goal is to divide 307972 by 72.

Going ahead to step 1:
3 divided by 72 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 72

Going ahead to step 2:
When dividing 30 by 72, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 72

Let's proceed to step 3:
72 goes into 307 4 times with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 288 away from 307, we end up with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 72

Advancing to step 4:
When dividing 199 by 72, we get 2 with a remainder of 55.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we take 144 away from 199, we end up with 55.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 72

Going ahead to step 5:
The number 72 fits into 557 7 times, leaving a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 427.0
Subtract 504 from 557 to get 53.
Include the next digit (2) from the dividend after 53, then repeat: 532 / 72

Step 6:
When dividing 532 by 72, we get 7 with a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 4277.0
Subtract 504 from 532 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
72 goes into 280 3 times with a remainder of 64.
Put 3 as the next digit of the answer. 
Result so far: 4277.3
Deduct 216 from 280 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
If we divide 640 by 72, we get 8 and a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 4277.38
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
72 can be fit into 640 8 times, resulting in a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 4277.388
If we subtract 576 from 640, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 4277.388 with a balance of 0.0064.