We look at the division of 4631563 by 678 
Let's see how many times 678 fits into 4631563.

Let's proceed to step 1:
If we divide 4 by 678, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 678

Going ahead to step 2:
678 goes into 46 0 times with a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 46 after subtracting 0 from 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 678

Moving on to step 3:
When dividing 463 by 678, we get 0 with a remainder of 463.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 463 after subtracting 0 from 463.
Grab the next digit (1) from the dividend, add it to 463, then carry on: 4631 / 678

Going ahead to step 4:
The number 678 fits into 4631 6 times, leaving a remainder of 563.
The next digit of our result is 6. 
Result so far: 6.0
If we take 4068 away from 4631, we end up with 563.
Grab the next digit (5) from the dividend, add it to 563, then carry on: 5635 / 678

Let's proceed to step 5:
678 can be fit into 5635 8 times, resulting in a remainder of 211.
The next digit of our result is 8. 
Result so far: 68.0
The remainder is 211 after subtracting 5424 from 5635.
Append the next digit (6) from the dividend to 211 and continue with: 2116 / 678

Moving on to step 6:
2116 divided by 678 is 3 with a remainder of 82.
Write down 3 as next digit of the result. 
Result so far: 683.0
Deduct 2034 from 2116 and we're left with 82.
Grab the next digit (3) from the dividend, add it to 82, then carry on: 823 / 678

On to step 7:
678 goes into 823 1 times with a remainder of 145.
Put 1 as the next digit of the answer. 
Result so far: 6831.0
If we take 678 away from 823, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Step 8:
The number 678 fits into 1450 2 times, leaving a remainder of 94.
The next digit of our result is 2. 
Result so far: 6831.2
The remainder is 94 after subtracting 1356 from 1450.
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 9:
When dividing 940 by 678, we get 1 with a remainder of 262.
Use 1 as the next digit of our solution. 
Result so far: 6831.21
Subtracting 678 from 940 leaves us with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Going ahead to step 10:
678 can be fit into 2620 3 times, resulting in a remainder of 586.
Put 3 as the next digit of the answer. 
Result so far: 6831.213
If we take 2034 away from 2620, we end up with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Step 11:
When dividing 5860 by 678, we get 8 with a remainder of 436.
The next digit of our result is 8. 
Result so far: 6831.2138
If we subtract 5424 from 5860, we get 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Advancing to step 12:
When dividing 4360 by 678, we get 6 with a remainder of 292.
The number 6 becomes the next digit in our result. 
Result so far: 6831.21386
If we take 4068 away from 4360, we end up with 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

On to step 13:
678 can be fit into 2920 4 times, resulting in a remainder of 208.
The number 4 becomes the next digit in our result. 
Result so far: 6831.213864
If we take 2712 away from 2920, we end up with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

On to step 14:
When dividing 2080 by 678, we get 3 with a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 6831.2138643
If we take 2034 away from 2080, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 15:
460 divided by 678 is 0 with a remainder of 460.
The next digit of our result is 0. 
Result so far: 6831.2138643
Subtract 0 from 460 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

The quotient of the division is 6831.2138643, and the remainder is 4.6e-07.