Let's divide 87189 by 97
Our goal is to divide 87189 by 97.

Step 1:
97 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 97

Advancing to step 2:
97 goes into 87 0 times with a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 87 and we're left with 87.
Append the next digit (1) from the dividend to 87 and continue with: 871 / 97

Step 3:
97 can be fit into 871 8 times, resulting in a remainder of 95.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 776 from 871 to get 95.
Bring next digit (8) of the dividend behind the 95 and repeat the process: 958 / 97

Moving on to step 4:
When dividing 958 by 97, we get 9 with a remainder of 85.
Use 9 as the next digit of our solution. 
Result so far: 89.0
If we subtract 873 from 958, we get 85.
Grab the next digit (9) from the dividend, add it to 85, then carry on: 859 / 97

Advancing to step 5:
97 can be fit into 859 8 times, resulting in a remainder of 83.
The number 8 becomes the next digit in our result. 
Result so far: 898.0
The remainder is 83 after subtracting 776 from 859.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 6:
97 can be fit into 830 8 times, resulting in a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 898.8
Subtracting 776 from 830 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
97 goes into 540 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 898.85
Subtract 485 from 540 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
If we divide 550 by 97, we get 5 and a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 898.855
The remainder is 65 after subtracting 485 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 898.855 with a remainder of 0.0065.