We look at the division of 128365 by 684 
We want to figure out the number of times 128365 can be divided by 684.

Moving on to step 1:
When dividing 1 by 684, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 684

Advancing to step 2:
If we divide 12 by 684, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 684

On to step 3:
684 goes into 128 0 times with a remainder of 128.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 128 and we're left with 128.
Take the next digit (3) from the dividend and append it to 128, then repeat: 1283 / 684

Going ahead to step 4:
1283 divided by 684 is 1 with a remainder of 599.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 684 from 1283 leaves us with 599.
Fetch the next digit (6) from the dividend, attach it to 599 and continue: 5996 / 684

On to step 5:
The number 684 fits into 5996 8 times, leaving a remainder of 524.
The next digit of our result is 8. 
Result so far: 18.0
If we subtract 5472 from 5996, we get 524.
Grab the next digit (5) from the dividend, add it to 524, then carry on: 5245 / 684

Let's proceed to step 6:
684 goes into 5245 7 times with a remainder of 457.
Put 7 as the next digit of the answer. 
Result so far: 187.0
If we take 4788 away from 5245, we end up with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Moving on to step 7:
684 can be fit into 4570 6 times, resulting in a remainder of 466.
Put 6 as the next digit of the answer. 
Result so far: 187.6
Subtract 4104 from 4570 to get 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Advancing to step 8:
684 goes into 4660 6 times with a remainder of 556.
Put 6 as the next digit of the answer. 
Result so far: 187.66
Subtract 4104 from 4660 to get 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

The final result is 187.66 with a remainder of 0.556.