We look at the division of 353744 by 72 
We want to figure out the number of times 353744 can be divided by 72.

Advancing to step 1:
72 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 72

On 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
If we subtract 0 from 35, we get 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 72

Let's proceed to step 3:
353 divided by 72 is 4 with a remainder of 65.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 288 from 353, we get 65.
Grab the next digit (7) from the dividend, add it to 65, then carry on: 657 / 72

Advancing to step 4:
When dividing 657 by 72, we get 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Subtract 648 from 657 to get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 72

Advancing to step 5:
If we divide 94 by 72, we get 1 and a remainder of 22.
The next digit of our result is 1. 
Result so far: 491.0
If we subtract 72 from 94, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 72

Moving on to step 6:
If we divide 224 by 72, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 4913.0
Subtract 216 from 224 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
80 divided by 72 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 4913.1
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 72 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 4913.11
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 4913.11 with a remainder of 0.008.