We look at the division of 41415504 by 678 
Our goal is to divide 41415504 by 678.

Let's proceed to step 1:
678 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 678

Going ahead to step 2:
41 divided by 678 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 678

Going ahead to step 3:
678 goes into 414 0 times with a remainder of 414.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 414 to get 414.
Grab the next digit (1) from the dividend, add it to 414, then carry on: 4141 / 678

Advancing to step 4:
The number 678 fits into 4141 6 times, leaving a remainder of 73.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 4068 away from 4141, we end up with 73.
Bring next digit (5) of the dividend behind the 73 and repeat the process: 735 / 678

On to step 5:
735 divided by 678 is 1 with a remainder of 57.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 678 from 735 leaves us with 57.
Append the next digit (5) from the dividend to 57 and continue with: 575 / 678

On to step 6:
When dividing 575 by 678, we get 0 with a remainder of 575.
Put 0 as the next digit of the answer. 
Result so far: 610.0
Subtract 0 from 575 to get 575.
Grab the next digit (0) from the dividend, add it to 575, then carry on: 5750 / 678

Let's proceed to step 7:
5750 divided by 678 is 8 with a remainder of 326.
Write down 8 as next digit of the result. 
Result so far: 6108.0
Subtracting 5424 from 5750 leaves us with 326.
Bring next digit (4) of the dividend behind the 326 and repeat the process: 3264 / 678

On to step 8:
678 goes into 3264 4 times with a remainder of 552.
Use 4 as the next digit of our solution. 
Result so far: 61084.0
Subtracting 2712 from 3264 leaves us with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Going ahead to step 9:
When dividing 5520 by 678, we get 8 with a remainder of 96.
The number 8 becomes the next digit in our result. 
Result so far: 61084.8
If we subtract 5424 from 5520, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Moving on to step 10:
The number 678 fits into 960 1 times, leaving a remainder of 282.
Write down 1 as next digit of the result. 
Result so far: 61084.81
Subtracting 678 from 960 leaves us with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Moving on to step 11:
When dividing 2820 by 678, we get 4 with a remainder of 108.
Use 4 as the next digit of our solution. 
Result so far: 61084.814
The remainder is 108 after subtracting 2712 from 2820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Moving on to step 12:
If we divide 1080 by 678, we get 1 and a remainder of 402.
Write down 1 as next digit of the result. 
Result so far: 61084.8141
If we take 678 away from 1080, we end up with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Moving on to step 13:
678 can be fit into 4020 5 times, resulting in a remainder of 630.
Put 5 as the next digit of the answer. 
Result so far: 61084.81415
Subtract 3390 from 4020 to get 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Advancing to step 14:
If we divide 6300 by 678, we get 9 and a remainder of 198.
Write down 9 as next digit of the result. 
Result so far: 61084.814159
Deduct 6102 from 6300 and we're left with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Step 15:
The number 678 fits into 1980 2 times, leaving a remainder of 624.
Write down 2 as next digit of the result. 
Result so far: 61084.8141592
Subtract 1356 from 1980 to get 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

On to step 16:
6240 divided by 678 is 9 with a remainder of 138.
Use 9 as the next digit of our solution. 
Result so far: 61084.81415929
If we subtract 6102 from 6240, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Our division results in 61084.81415929 with a remaining 1.38e-07.