We look at the division of 196369 by 87 
We want to figure out the number of times 196369 can be divided by 87.

Going ahead to step 1:
The number 87 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 87

On to step 2:
When dividing 19 by 87, we get 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 87

Let's proceed to step 3:
196 divided by 87 is 2 with a remainder of 22.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 22 after subtracting 174 from 196.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 87

Step 4:
87 goes into 223 2 times with a remainder of 49.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 174 from 223 leaves us with 49.
Bring next digit (6) of the dividend behind the 49 and repeat the process: 496 / 87

Moving on to step 5:
If we divide 496 by 87, we get 5 and a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 225.0
Subtracting 435 from 496 leaves us with 61.
Include the next digit (9) from the dividend after 61, then repeat: 619 / 87

Advancing to step 6:
87 can be fit into 619 7 times, resulting in a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 2257.0
If we subtract 609 from 619, we get 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:
If we divide 100 by 87, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 2257.1
Deduct 87 from 100 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
When dividing 130 by 87, we get 1 with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 2257.11
Deduct 87 from 130 and we're left 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 2257.11, with a leftover of 0.043.