Let's divide 3417129 by 684
We want to divide 3417129 by 684.

Step 1:
684 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 684

Moving on to step 2:
The number 684 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 684

Moving on to step 3:
684 can be fit into 341 0 times, resulting in a remainder of 341.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 341 and we're left with 341.
Bring next digit (7) of the dividend behind the 341 and repeat the process: 3417 / 684

Advancing to step 4:
684 can be fit into 3417 4 times, resulting in a remainder of 681.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 2736 from 3417 to get 681.
Fetch the next digit (1) from the dividend, attach it to 681 and continue: 6811 / 684

Let's proceed to step 5:
6811 divided by 684 is 9 with a remainder of 655.
The next digit of our result is 9. 
Result so far: 49.0
The remainder is 655 after subtracting 6156 from 6811.
Take the next digit (2) from the dividend and append it to 655, then repeat: 6552 / 684

Let's proceed to step 6:
When dividing 6552 by 684, we get 9 with a remainder of 396.
Write down 9 as next digit of the result. 
Result so far: 499.0
The remainder is 396 after subtracting 6156 from 6552.
Grab the next digit (9) from the dividend, add it to 396, then carry on: 3969 / 684

Step 7:
The number 684 fits into 3969 5 times, leaving a remainder of 549.
The next digit of our result is 5. 
Result so far: 4995.0
The remainder is 549 after subtracting 3420 from 3969.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5490, and continue the process.

Going ahead to step 8:
If we divide 5490 by 684, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 4995.8
Deduct 5472 from 5490 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
684 can be fit into 180 0 times, resulting in a remainder of 180.
Record the quotient 0 as the next digit in the result. 
Result so far: 4995.8
Subtracting 0 from 180 leaves us with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 10:
684 can be fit into 1800 2 times, resulting in a remainder of 432.
Use 2 as the next digit of our solution. 
Result so far: 4995.802
Deduct 1368 from 1800 and we're left with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Let's proceed to step 11:
684 can be fit into 4320 6 times, resulting in a remainder of 216.
Use 6 as the next digit of our solution. 
Result so far: 4995.8026
Subtracting 4104 from 4320 leaves us with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Let's proceed to step 12:
2160 divided by 684 is 3 with a remainder of 108.
The number 3 becomes the next digit in our result. 
Result so far: 4995.80263
If we take 2052 away from 2160, we end up with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Let's proceed to step 13:
684 goes into 1080 1 times with a remainder of 396.
Write down 1 as next digit of the result. 
Result so far: 4995.802631
Deduct 684 from 1080 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Going ahead to step 14:
If we divide 3960 by 684, we get 5 and a remainder of 540.
The number 5 becomes the next digit in our result. 
Result so far: 4995.8026315
Subtracting 3420 from 3960 leaves us with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Going ahead to step 15:
The number 684 fits into 5400 7 times, leaving a remainder of 612.
The next digit of our result is 7. 
Result so far: 4995.80263157
If we take 4788 away from 5400, we end up with 612.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6120, and continue the process.

In conclusion, the division gives 4995.80263157 with a balance of 6.12e-07.