We look at the division of 6378718 by 614 
We want to figure out the number of times 6378718 can be divided by 614.

Step 1:
614 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 614

Moving on to step 2:
If we divide 63 by 614, we get 0 and a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 614

On to step 3:
When dividing 637 by 614, we get 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 614 from 637 to get 23.
Fetch the next digit (8) from the dividend, attach it to 23 and continue: 238 / 614

On to step 4:
614 goes into 238 0 times with a remainder of 238.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 238, we end up with 238.
Fetch the next digit (7) from the dividend, attach it to 238 and continue: 2387 / 614

Step 5:
When dividing 2387 by 614, we get 3 with a remainder of 545.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 1842 from 2387 to get 545.
Grab the next digit (1) from the dividend, add it to 545, then carry on: 5451 / 614

On to step 6:
614 can be fit into 5451 8 times, resulting in a remainder of 539.
The number 8 becomes the next digit in our result. 
Result so far: 1038.0
If we take 4912 away from 5451, we end up with 539.
Include the next digit (8) from the dividend after 539, then repeat: 5398 / 614

Step 7:
614 can be fit into 5398 8 times, resulting in a remainder of 486.
Put 8 as the next digit of the answer. 
Result so far: 10388.0
If we take 4912 away from 5398, we end up with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Going ahead to step 8:
4860 divided by 614 is 7 with a remainder of 562.
Put 7 as the next digit of the answer. 
Result so far: 10388.7
The remainder is 562 after subtracting 4298 from 4860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Moving on to step 9:
614 can be fit into 5620 9 times, resulting in a remainder of 94.
Use 9 as the next digit of our solution. 
Result so far: 10388.79
If we subtract 5526 from 5620, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 10:
If we divide 940 by 614, we get 1 and a remainder of 326.
Put 1 as the next digit of the answer. 
Result so far: 10388.791
Subtract 614 from 940 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Let's proceed to step 11:
If we divide 3260 by 614, we get 5 and a remainder of 190.
Use 5 as the next digit of our solution. 
Result so far: 10388.7915
The remainder is 190 after subtracting 3070 from 3260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 12:
614 can be fit into 1900 3 times, resulting in a remainder of 58.
Write down 3 as next digit of the result. 
Result so far: 10388.79153
If we subtract 1842 from 1900, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 13:
If we divide 580 by 614, we get 0 and a remainder of 580.
Write down 0 as next digit of the result. 
Result so far: 10388.79153
If we take 0 away from 580, we end up with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Step 14:
614 goes into 5800 9 times with a remainder of 274.
Put 9 as the next digit of the answer. 
Result so far: 10388.7915309
If we subtract 5526 from 5800, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Moving on to step 15:
2740 divided by 614 is 4 with a remainder of 284.
Use 4 as the next digit of our solution. 
Result so far: 10388.79153094
If we take 2456 away from 2740, we end up with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

The final result is 10388.79153094 with a remainder of 2.84e-07.