Let's divide 6515623 by 678
Our goal is to divide 6515623 by 678.

On to step 1:
678 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 678

Advancing to step 2:
If we divide 65 by 678, we get 0 and a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Grab the next digit (1) from the dividend, add it to 65, then carry on: 651 / 678

Moving on to step 3:
The number 678 fits into 651 0 times, leaving a remainder of 651.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 651 and we're left with 651.
Bring next digit (5) of the dividend behind the 651 and repeat the process: 6515 / 678

Advancing to step 4:
678 can be fit into 6515 9 times, resulting in a remainder of 413.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 6102 away from 6515, we end up with 413.
Bring next digit (6) of the dividend behind the 413 and repeat the process: 4136 / 678

Advancing to step 5:
678 goes into 4136 6 times with a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 96.0
If we take 4068 away from 4136, we end up with 68.
Grab the next digit (2) from the dividend, add it to 68, then carry on: 682 / 678

On to step 6:
When dividing 682 by 678, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 961.0
If we subtract 678 from 682, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 678

On to step 7:
The number 678 fits into 43 0 times, leaving a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 9610.0
Subtract 0 from 43 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
When dividing 430 by 678, we get 0 with a remainder of 430.
Use 0 as the next digit of our solution. 
Result so far: 9610.0
If we take 0 away from 430, we end up with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Advancing to step 9:
678 goes into 4300 6 times with a remainder of 232.
Put 6 as the next digit of the answer. 
Result so far: 9610.06
If we subtract 4068 from 4300, we get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Let's proceed to step 10:
If we divide 2320 by 678, we get 3 and a remainder of 286.
Use 3 as the next digit of our solution. 
Result so far: 9610.063
If we subtract 2034 from 2320, we get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Moving on to step 11:
If we divide 2860 by 678, we get 4 and a remainder of 148.
Put 4 as the next digit of the answer. 
Result so far: 9610.0634
If we take 2712 away from 2860, we end up with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Moving on to step 12:
1480 divided by 678 is 2 with a remainder of 124.
The next digit of our result is 2. 
Result so far: 9610.06342
Subtract 1356 from 1480 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Step 13:
1240 divided by 678 is 1 with a remainder of 562.
The number 1 becomes the next digit in our result. 
Result so far: 9610.063421
Subtracting 678 from 1240 leaves us with 562.
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 14:
If we divide 5620 by 678, we get 8 and a remainder of 196.
Put 8 as the next digit of the answer. 
Result so far: 9610.0634218
If we subtract 5424 from 5620, we get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Going ahead to step 15:
678 can be fit into 1960 2 times, resulting in a remainder of 604.
Record the quotient 2 as the next digit in the result. 
Result so far: 9610.06342182
If we subtract 1356 from 1960, we get 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

The final result is 9610.06342182 with a remainder of 6.04e-07.