We look at the division of 28629 by 87 
We're looking to find how many times 87 goes into 28629.

On to step 1:
2 divided by 87 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 87

Going ahead to step 2:
87 goes into 28 0 times with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 87

Step 3:
When dividing 286 by 87, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 261 from 286 to get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 87

Moving on to step 4:
When dividing 252 by 87, we get 2 with a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtracting 174 from 252 leaves us with 78.
Fetch the next digit (9) from the dividend, attach it to 78 and continue: 789 / 87

Advancing to step 5:
When dividing 789 by 87, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 329.0
Subtracting 783 from 789 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 6:
If we divide 60 by 87, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 329.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 7:
87 goes into 600 6 times with a remainder of 78.
Record the quotient 6 as the next digit in the result. 
Result so far: 329.06
If we take 522 away from 600, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 8:
When dividing 780 by 87, we get 8 with a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 329.068
The remainder is 84 after subtracting 696 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 9:
The number 87 fits into 840 9 times, leaving a remainder of 57.
The next digit of our result is 9. 
Result so far: 329.0689
The remainder is 57 after subtracting 783 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 10:
570 divided by 87 is 6 with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 329.06896
Subtract 522 from 570 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 11:
87 can be fit into 480 5 times, resulting in a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 329.068965
The remainder is 45 after subtracting 435 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 12:
450 divided by 87 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 329.0689655
Deduct 435 from 450 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 329.0689655 with a balance of 1.5e-07.