We look at the division of 725967 by 87 
We want to divide 725967 by 87.

On to step 1:
If we divide 7 by 87, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 87

Moving on to step 2:
87 can be fit into 72 0 times, resulting in a remainder of 72.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 72 after subtracting 0 from 72.
Append the next digit (5) from the dividend to 72 and continue with: 725 / 87

Moving on to step 3:
725 divided by 87 is 8 with a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 696 away from 725, we end up with 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 87

On to step 4:
299 divided by 87 is 3 with a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 83.0
Deduct 261 from 299 and we're left with 38.
Fetch the next digit (6) from the dividend, attach it to 38 and continue: 386 / 87

Step 5:
87 goes into 386 4 times with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 834.0
If we take 348 away from 386, we end up with 38.
Bring next digit (7) of the dividend behind the 38 and repeat the process: 387 / 87

Step 6:
87 goes into 387 4 times with a remainder of 39.
Put 4 as the next digit of the answer. 
Result so far: 8344.0
The remainder is 39 after subtracting 348 from 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
390 divided by 87 is 4 with a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 8344.4
Subtracting 348 from 390 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
87 can be fit into 420 4 times, resulting in a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 8344.44
Deduct 348 from 420 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 8344.44 with a balance of 0.072.