1902965 ÷ 684 
We want to divide 1902965 by 684.

Going ahead to step 1:
When dividing 1 by 684, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 684

On to step 2:
The number 684 fits into 19 0 times, leaving a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 684

Moving on to step 3:
The number 684 fits into 190 0 times, leaving a remainder of 190.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 190 to get 190.
Include the next digit (2) from the dividend after 190, then repeat: 1902 / 684

Let's proceed to step 4:
1902 divided by 684 is 2 with a remainder of 534.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 534 after subtracting 1368 from 1902.
Take the next digit (9) from the dividend and append it to 534, then repeat: 5349 / 684

Let's proceed to step 5:
684 goes into 5349 7 times with a remainder of 561.
Use 7 as the next digit of our solution. 
Result so far: 27.0
The remainder is 561 after subtracting 4788 from 5349.
Fetch the next digit (6) from the dividend, attach it to 561 and continue: 5616 / 684

Going ahead to step 6:
684 goes into 5616 8 times with a remainder of 144.
Use 8 as the next digit of our solution. 
Result so far: 278.0
If we subtract 5472 from 5616, we get 144.
Take the next digit (5) from the dividend and append it to 144, then repeat: 1445 / 684

Step 7:
1445 divided by 684 is 2 with a remainder of 77.
Write down 2 as next digit of the result. 
Result so far: 2782.0
If we subtract 1368 from 1445, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 8:
The number 684 fits into 770 1 times, leaving a remainder of 86.
Record the quotient 1 as the next digit in the result. 
Result so far: 2782.1
Deduct 684 from 770 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 9:
When dividing 860 by 684, we get 1 with a remainder of 176.
The number 1 becomes the next digit in our result. 
Result so far: 2782.11
Subtracting 684 from 860 leaves us with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

The final result is 2782.11 with a remainder of 0.176.