343634 ÷ 72 
Our goal is to divide 343634 by 72.

Let's proceed to step 1:
3 divided by 72 is 0 with 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 (4) from the dividend and append it to 3, then repeat: 34 / 72

Going ahead to step 2:
When dividing 34 by 72, we get 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 72

On to step 3:
If we divide 343 by 72, we get 4 and a remainder of 55.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 288 from 343 to get 55.
Include the next digit (6) from the dividend after 55, then repeat: 556 / 72

Going ahead to step 4:
556 divided by 72 is 7 with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 47.0
Subtract 504 from 556 to get 52.
Include the next digit (3) from the dividend after 52, then repeat: 523 / 72

Going ahead to step 5:
The number 72 fits into 523 7 times, leaving a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 477.0
Deduct 504 from 523 and we're left with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 72

On to step 6:
194 divided by 72 is 2 with a remainder of 50.
Put 2 as the next digit of the answer. 
Result so far: 4772.0
Deduct 144 from 194 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
If we divide 500 by 72, we get 6 and a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 4772.6
Subtracting 432 from 500 leaves us 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.

Step 8:
72 can be fit into 680 9 times, resulting in a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 4772.69
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.

Let's proceed to step 9:
72 can be fit into 320 4 times, resulting in a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 4772.694
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.

Moving on to step 10:
When dividing 320 by 72, we get 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 4772.6944
Deduct 288 from 320 and we're left 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.

The final result is 4772.6944 with a remainder of 0.00032.