8412068 ÷ 684 
Our goal is to divide 8412068 by 684.

Step 1:
8 divided by 684 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 684

Let's proceed to step 2:
684 can be fit into 84 0 times, resulting in a remainder of 84.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 84, we end up with 84.
Take the next digit (1) from the dividend and append it to 84, then repeat: 841 / 684

Advancing to step 3:
If we divide 841 by 684, we get 1 and a remainder of 157.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 684 from 841, we get 157.
Bring next digit (2) of the dividend behind the 157 and repeat the process: 1572 / 684

Going ahead to step 4:
If we divide 1572 by 684, we get 2 and a remainder of 204.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 1368 from 1572 and we're left with 204.
Bring next digit (0) of the dividend behind the 204 and repeat the process: 2040 / 684

Moving on to step 5:
When dividing 2040 by 684, we get 2 with a remainder of 672.
Write down 2 as next digit of the result. 
Result so far: 122.0
The remainder is 672 after subtracting 1368 from 2040.
Bring next digit (6) of the dividend behind the 672 and repeat the process: 6726 / 684

Moving on to step 6:
684 can be fit into 6726 9 times, resulting in a remainder of 570.
The next digit of our result is 9. 
Result so far: 1229.0
If we take 6156 away from 6726, we end up with 570.
Take the next digit (8) from the dividend and append it to 570, then repeat: 5708 / 684

Step 7:
When dividing 5708 by 684, we get 8 with a remainder of 236.
The next digit of our result is 8. 
Result so far: 12298.0
Deduct 5472 from 5708 and we're left with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

On to step 8:
If we divide 2360 by 684, we get 3 and a remainder of 308.
Write down 3 as next digit of the result. 
Result so far: 12298.3
If we subtract 2052 from 2360, we get 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Let's proceed to step 9:
The number 684 fits into 3080 4 times, leaving a remainder of 344.
The number 4 becomes the next digit in our result. 
Result so far: 12298.34
If we subtract 2736 from 3080, we get 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Step 10:
3440 divided by 684 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 12298.345
The remainder is 20 after subtracting 3420 from 3440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
684 can be fit into 200 0 times, resulting in a remainder of 200.
Write down 0 as next digit of the result. 
Result so far: 12298.345
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Step 12:
If we divide 2000 by 684, we get 2 and a remainder of 632.
Put 2 as the next digit of the answer. 
Result so far: 12298.34502
Subtracting 1368 from 2000 leaves us with 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Let's proceed to step 13:
684 can be fit into 6320 9 times, resulting in a remainder of 164.
The number 9 becomes the next digit in our result. 
Result so far: 12298.345029
If we take 6156 away from 6320, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Step 14:
1640 divided by 684 is 2 with a remainder of 272.
Use 2 as the next digit of our solution. 
Result so far: 12298.3450292
If we take 1368 away from 1640, we end up with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Advancing to step 15:
If we divide 2720 by 684, we get 3 and a remainder of 668.
Write down 3 as next digit of the result. 
Result so far: 12298.34502923
Subtract 2052 from 2720 to get 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Our division results in 12298.34502923 with a remaining 6.68e-07.