643138 divided by 72 
We're looking to find how many times 72 goes into 643138.

Moving on to step 1:
When dividing 6 by 72, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 72

On to step 2:
If we divide 64 by 72, we get 0 and a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Grab the next digit (3) from the dividend, add it to 64, then carry on: 643 / 72

Advancing to step 3:
72 can be fit into 643 8 times, resulting in a remainder of 67.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 576 from 643 and we're left with 67.
Append the next digit (1) from the dividend to 67 and continue with: 671 / 72

Going ahead to step 4:
72 goes into 671 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Deduct 648 from 671 and we're left with 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 72

Step 5:
When dividing 233 by 72, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 893.0
The remainder is 17 after subtracting 216 from 233.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 72

Let's proceed to step 6:
If we divide 178 by 72, we get 2 and a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 8932.0
If we take 144 away from 178, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
If we divide 340 by 72, we get 4 and a remainder of 52.
The next digit of our result is 4. 
Result so far: 8932.4
Subtract 288 from 340 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
72 goes into 520 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 8932.47
Deduct 504 from 520 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
If we divide 160 by 72, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 8932.472
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
72 goes into 160 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 8932.4722
The remainder is 16 after subtracting 144 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 8932.4722 with a balance of 0.00016.