We look at the division of 354884 by 72 
Our goal is to divide 354884 by 72.

Step 1:
The number 72 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 72

Going ahead to step 2:
The number 72 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 72

Let's proceed to step 3:
72 can be fit into 354 4 times, resulting in a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 288 from 354 and we're left with 66.
Take the next digit (8) from the dividend and append it to 66, then repeat: 668 / 72

Let's proceed to step 4:
72 can be fit into 668 9 times, resulting in a remainder of 20.
Use 9 as the next digit of our solution. 
Result so far: 49.0
Subtracting 648 from 668 leaves us with 20.
Append the next digit (8) from the dividend to 20 and continue with: 208 / 72

Moving on to step 5:
208 divided by 72 is 2 with a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 492.0
Subtract 144 from 208 to get 64.
Grab the next digit (4) from the dividend, add it to 64, then carry on: 644 / 72

Step 6:
72 goes into 644 8 times with a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 4928.0
The remainder is 68 after subtracting 576 from 644.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
The number 72 fits into 680 9 times, leaving a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 4928.9
Subtract 648 from 680 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
The number 72 fits into 320 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 4928.94
If we subtract 288 from 320, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
72 can be fit into 320 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 4928.944
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4928.944 with a balance of 0.0032.