We look at the division of 125578 by 72 
Our goal is to divide 125578 by 72.

Step 1:
If we divide 1 by 72, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 72

Going ahead to step 2:
72 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 72

On to step 3:
125 divided by 72 is 1 with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 72 from 125 and we're left with 53.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 72

Step 4:
If we divide 535 by 72, we get 7 and a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 504 from 535 and we're left with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 72

Advancing to step 5:
72 can be fit into 317 4 times, resulting in a remainder of 29.
The next digit of our result is 4. 
Result so far: 174.0
Subtract 288 from 317 to get 29.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 72

Going ahead to step 6:
298 divided by 72 is 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 1744.0
Subtracting 288 from 298 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
100 divided by 72 is 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1744.1
The remainder is 28 after subtracting 72 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
The number 72 fits into 280 3 times, leaving a remainder of 64.
The number 3 becomes the next digit in our result. 
Result so far: 1744.13
Subtracting 216 from 280 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
When dividing 640 by 72, we get 8 with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 1744.138
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 10:
The number 72 fits into 640 8 times, leaving a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 1744.1388
The remainder is 64 after subtracting 576 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 1744.1388 and a remainder of 0.00064.