We look at the division of 354308 by 72 
We want to figure out the number of times 354308 can be divided by 72.

Let's proceed to step 1:
When dividing 3 by 72, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 72

On to step 2:
If we divide 35 by 72, we get 0 and a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 72

On to step 3:
The number 72 fits into 354 4 times, leaving a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 288 from 354, we get 66.
Bring next digit (3) of the dividend behind the 66 and repeat the process: 663 / 72

On to step 4:
72 goes into 663 9 times with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 49.0
Subtract 648 from 663 to get 15.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 72

Step 5:
When dividing 150 by 72, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 492.0
Subtracting 144 from 150 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 72

Let's proceed to step 6:
If we divide 68 by 72, we get 0 and a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 4920.0
Deduct 0 from 68 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
When dividing 680 by 72, we get 9 with a remainder of 32.
The next digit of our result is 9. 
Result so far: 4920.9
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.

Going ahead to step 8:
320 divided by 72 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 4920.94
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
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: 4920.944
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.

Our division results in 4920.944 with a remaining 0.0032.