Let's divide 289633 by 87
Our goal is to divide 289633 by 87.

Step 1:
When dividing 2 by 87, we get 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

Moving on to step 2:
The number 87 fits into 28 0 times, leaving a remainder of 28.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 87

Step 3:
The number 87 fits into 289 3 times, leaving a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 261 away from 289, we end up with 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 87

Moving on to step 4:
286 divided by 87 is 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 33.0
Deduct 261 from 286 and we're left with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 87

Let's proceed to step 5:
When dividing 253 by 87, we get 2 with a remainder of 79.
Record the quotient 2 as the next digit in the result. 
Result so far: 332.0
Deduct 174 from 253 and we're left with 79.
Append the next digit (3) from the dividend to 79 and continue with: 793 / 87

Going ahead to step 6:
If we divide 793 by 87, we get 9 and a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 3329.0
If we take 783 away from 793, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
87 can be fit into 100 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 3329.1
If we subtract 87 from 100, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
130 divided by 87 is 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 3329.11
If we take 87 away from 130, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final outcome is 3329.11, with a leftover of 0.043.