186564 ÷ 72 
We want to divide 186564 by 72.

Going ahead to step 1:
When dividing 1 by 72, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 72

Moving on to step 2:
When dividing 18 by 72, we get 0 with a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 18 to get 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 72

On to step 3:
72 goes into 186 2 times with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 144 from 186 to get 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 72

Step 4:
72 goes into 425 5 times with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we take 360 away from 425, we end up with 65.
Bring next digit (6) of the dividend behind the 65 and repeat the process: 656 / 72

Let's proceed to step 5:
72 goes into 656 9 times with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 259.0
Subtracting 648 from 656 leaves us with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 72

On to step 6:
If we divide 84 by 72, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 2591.0
The remainder is 12 after subtracting 72 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
When dividing 120 by 72, we get 1 with a remainder of 48.
The next digit of our result is 1. 
Result so far: 2591.1
Deduct 72 from 120 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.

Going ahead to step 8:
When dividing 480 by 72, we get 6 with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 2591.16
The remainder is 48 after subtracting 432 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
If we divide 480 by 72, we get 6 and a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 2591.166
Subtract 432 from 480 to 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 2591.166 with a balance of 0.0048.