We're dividing 1682667 by 627 
We want to divide 1682667 by 627.

Going ahead to step 1:
1 divided by 627 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 627

Going ahead to step 2:
If we divide 16 by 627, we get 0 and a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 627

Step 3:
627 can be fit into 168 0 times, resulting in a remainder of 168.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 168, we end up with 168.
Bring next digit (2) of the dividend behind the 168 and repeat the process: 1682 / 627

Moving on to step 4:
627 can be fit into 1682 2 times, resulting in a remainder of 428.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 1254 from 1682 to get 428.
Append the next digit (6) from the dividend to 428 and continue with: 4286 / 627

Let's proceed to step 5:
627 goes into 4286 6 times with a remainder of 524.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtract 3762 from 4286 to get 524.
Grab the next digit (6) from the dividend, add it to 524, then carry on: 5246 / 627

Advancing to step 6:
627 can be fit into 5246 8 times, resulting in a remainder of 230.
Write down 8 as next digit of the result. 
Result so far: 268.0
If we subtract 5016 from 5246, we get 230.
Grab the next digit (7) from the dividend, add it to 230, then carry on: 2307 / 627

Moving on to step 7:
The number 627 fits into 2307 3 times, leaving a remainder of 426.
Put 3 as the next digit of the answer. 
Result so far: 2683.0
Subtract 1881 from 2307 to get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

On to step 8:
627 can be fit into 4260 6 times, resulting in a remainder of 498.
Write down 6 as next digit of the result. 
Result so far: 2683.6
Deduct 3762 from 4260 and we're left with 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Let's proceed to step 9:
627 can be fit into 4980 7 times, resulting in a remainder of 591.
The next digit of our result is 7. 
Result so far: 2683.67
The remainder is 591 after subtracting 4389 from 4980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Step 10:
627 can be fit into 5910 9 times, resulting in a remainder of 267.
Use 9 as the next digit of our solution. 
Result so far: 2683.679
Subtract 5643 from 5910 to get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

On to step 11:
If we divide 2670 by 627, we get 4 and a remainder of 162.
Record the quotient 4 as the next digit in the result. 
Result so far: 2683.6794
If we take 2508 away from 2670, we end up with 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Step 12:
When dividing 1620 by 627, we get 2 with a remainder of 366.
Record the quotient 2 as the next digit in the result. 
Result so far: 2683.67942
Subtract 1254 from 1620 to get 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Let's proceed to step 13:
The number 627 fits into 3660 5 times, leaving a remainder of 525.
Write down 5 as next digit of the result. 
Result so far: 2683.679425
If we take 3135 away from 3660, we end up with 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

On to step 14:
If we divide 5250 by 627, we get 8 and a remainder of 234.
The next digit of our result is 8. 
Result so far: 2683.6794258
If we subtract 5016 from 5250, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 15:
When dividing 2340 by 627, we get 3 with a remainder of 459.
Use 3 as the next digit of our solution. 
Result so far: 2683.67942583
Deduct 1881 from 2340 and we're left with 459.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4590, and continue the process.

In conclusion, the division gives 2683.67942583 with a balance of 4.59e-07.