Let's divide 105328 by 87
We want to divide 105328 by 87.

Step 1:
87 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 87

Going ahead to step 2:
10 divided by 87 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 87

Advancing to step 3:
87 goes into 105 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 87 from 105 and we're left with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 87

Step 4:
When dividing 183 by 87, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 174 from 183 to get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 87

Let's proceed to step 5:
87 goes into 92 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Subtract 87 from 92 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 87

Step 6:
87 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 1210.0
If we subtract 0 from 58, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
87 can be fit into 580 6 times, resulting in a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 1210.6
If we take 522 away from 580, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
If we divide 580 by 87, we get 6 and a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 1210.66
The remainder is 58 after subtracting 522 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 1210.66 with a balance of 0.058.