We look at the division of 87628498 by 729 
We want to figure out the number of times 87628498 can be divided by 729.

Going ahead to step 1:
8 divided by 729 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 729

Going ahead to step 2:
The number 729 fits into 87 0 times, leaving a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 87 and we're left with 87.
Fetch the next digit (6) from the dividend, attach it to 87 and continue: 876 / 729

Advancing to step 3:
The number 729 fits into 876 1 times, leaving a remainder of 147.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 729 from 876, we get 147.
Grab the next digit (2) from the dividend, add it to 147, then carry on: 1472 / 729

On to step 4:
1472 divided by 729 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 1458 from 1472, we get 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 729

Let's proceed to step 5:
729 can be fit into 148 0 times, resulting in a remainder of 148.
Put 0 as the next digit of the answer. 
Result so far: 120.0
If we subtract 0 from 148, we get 148.
Include the next digit (4) from the dividend after 148, then repeat: 1484 / 729

Step 6:
729 goes into 1484 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 1202.0
Subtract 1458 from 1484 to get 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 729

Moving on to step 7:
The number 729 fits into 269 0 times, leaving a remainder of 269.
The number 0 becomes the next digit in our result. 
Result so far: 12020.0
Subtracting 0 from 269 leaves us with 269.
Fetch the next digit (8) from the dividend, attach it to 269 and continue: 2698 / 729

Advancing to step 8:
2698 divided by 729 is 3 with a remainder of 511.
Use 3 as the next digit of our solution. 
Result so far: 120203.0
Deduct 2187 from 2698 and we're left with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

Step 9:
The number 729 fits into 5110 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 120203.7
If we subtract 5103 from 5110, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
729 goes into 70 0 times with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 120203.7
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 11:
The number 729 fits into 700 0 times, leaving a remainder of 700.
Record the quotient 0 as the next digit in the result. 
Result so far: 120203.7
Deduct 0 from 700 and we're left with 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

In conclusion, the division gives 120203.7 with a balance of 0.07.