We're dividing 75689 by 87 
We want to divide 75689 by 87.

Moving on to step 1:
When dividing 7 by 87, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 87

Let's proceed to step 2:
75 divided by 87 is 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Fetch the next digit (6) from the dividend, attach it to 75 and continue: 756 / 87

Let's proceed to step 3:
87 goes into 756 8 times with a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 696 from 756 to get 60.
Grab the next digit (8) from the dividend, add it to 60, then carry on: 608 / 87

Going ahead to step 4:
87 goes into 608 6 times with a remainder of 86.
Put 6 as the next digit of the answer. 
Result so far: 86.0
The remainder is 86 after subtracting 522 from 608.
Fetch the next digit (9) from the dividend, attach it to 86 and continue: 869 / 87

Let's proceed to step 5:
When dividing 869 by 87, we get 9 with a remainder of 86.
Put 9 as the next digit of the answer. 
Result so far: 869.0
Subtracting 783 from 869 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 6:
87 can be fit into 860 9 times, resulting in a remainder of 77.
The next digit of our result is 9. 
Result so far: 869.9
Deduct 783 from 860 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 7:
If we divide 770 by 87, we get 8 and a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 869.98
Deduct 696 from 770 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 8:
87 can be fit into 740 8 times, resulting in a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 869.988
If we subtract 696 from 740, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 869.988 with a balance of 0.0044.