3865 ÷ 72 
We're looking to find how many times 72 goes into 3865.

Advancing to step 1:
The number 72 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 72

Step 2:
When dividing 38 by 72, we get 0 with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Append the next digit (6) from the dividend to 38 and continue with: 386 / 72

Let's proceed to step 3:
When dividing 386 by 72, we get 5 with a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 360 from 386 and we're left with 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 72

Moving on to step 4:
The number 72 fits into 265 3 times, leaving a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we take 216 away from 265, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 5:
72 can be fit into 490 6 times, resulting in a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 53.6
If we subtract 432 from 490, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
When dividing 580 by 72, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 53.68
Deduct 576 from 580 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
When dividing 40 by 72, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 53.68
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
72 goes into 400 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 53.6805
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
When dividing 400 by 72, we get 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 53.68055
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 53.68055 with a balance of 4e-05.