1550109 ÷ 684 
We want to figure out the number of times 1550109 can be divided by 684.

Step 1:
684 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 684

On to step 2:
The number 684 fits into 15 0 times, leaving a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 684

Let's proceed to step 3:
155 divided by 684 is 0 with a remainder of 155.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 155 after subtracting 0 from 155.
Fetch the next digit (0) from the dividend, attach it to 155 and continue: 1550 / 684

Going ahead to step 4:
The number 684 fits into 1550 2 times, leaving a remainder of 182.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 1368 from 1550 and we're left with 182.
Take the next digit (1) from the dividend and append it to 182, then repeat: 1821 / 684

On to step 5:
If we divide 1821 by 684, we get 2 and a remainder of 453.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtracting 1368 from 1821 leaves us with 453.
Bring next digit (0) of the dividend behind the 453 and repeat the process: 4530 / 684

Let's proceed to step 6:
If we divide 4530 by 684, we get 6 and a remainder of 426.
The next digit of our result is 6. 
Result so far: 226.0
The remainder is 426 after subtracting 4104 from 4530.
Grab the next digit (9) from the dividend, add it to 426, then carry on: 4269 / 684

Going ahead to step 7:
4269 divided by 684 is 6 with a remainder of 165.
The number 6 becomes the next digit in our result. 
Result so far: 2266.0
Deduct 4104 from 4269 and we're left with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Going ahead to step 8:
When dividing 1650 by 684, we get 2 with a remainder of 282.
Put 2 as the next digit of the answer. 
Result so far: 2266.2
Deduct 1368 from 1650 and we're left with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Step 9:
If we divide 2820 by 684, we get 4 and a remainder of 84.
Write down 4 as next digit of the result. 
Result so far: 2266.24
If we take 2736 away from 2820, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 10:
If we divide 840 by 684, we get 1 and a remainder of 156.
Write down 1 as next digit of the result. 
Result so far: 2266.241
If we take 684 away from 840, we end up with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Advancing to step 11:
The number 684 fits into 1560 2 times, leaving a remainder of 192.
Put 2 as the next digit of the answer. 
Result so far: 2266.2412
If we take 1368 away from 1560, we end up with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Going ahead to step 12:
684 can be fit into 1920 2 times, resulting in a remainder of 552.
The number 2 becomes the next digit in our result. 
Result so far: 2266.24122
If we subtract 1368 from 1920, we get 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Our division results in 2266.24122 with a remaining 0.000552.