89114 ÷ 87 
Our goal is to divide 89114 by 87.

Step 1:
8 divided by 87 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 87

On to step 2:
When dividing 89 by 87, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 87 from 89 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 87

On to step 3:
87 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 21 leaves us with 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 87

Moving on to step 4:
The number 87 fits into 211 2 times, leaving a remainder of 37.
Put 2 as the next digit of the answer. 
Result so far: 102.0
If we take 174 away from 211, we end up with 37.
Bring next digit (4) of the dividend behind the 37 and repeat the process: 374 / 87

On to step 5:
The number 87 fits into 374 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 1024.0
Deduct 348 from 374 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 6:
87 can be fit into 260 2 times, resulting in a remainder of 86.
Write down 2 as next digit of the result. 
Result so far: 1024.2
The remainder is 86 after subtracting 174 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 7:
The number 87 fits into 860 9 times, leaving a remainder of 77.
Use 9 as the next digit of our solution. 
Result so far: 1024.29
If we take 783 away from 860, we end up 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.

Advancing to step 8:
87 can be fit into 770 8 times, resulting in a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 1024.298
Subtracting 696 from 770 leaves us 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.

Let's proceed to step 9:
If we divide 740 by 87, we get 8 and a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 1024.2988
Subtract 696 from 740 to 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.

Our division results in 1024.2988 with a remaining 0.00044.