We look at the division of 663674 by 86 
We're looking to find how many times 86 goes into 663674.

Let's proceed to step 1:
6 divided by 86 is 0 with 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.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 86

On to step 2:
86 can be fit into 66 0 times, resulting in a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Include the next digit (3) from the dividend after 66, then repeat: 663 / 86

On to step 3:
663 divided by 86 is 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 61 after subtracting 602 from 663.
Take the next digit (6) from the dividend and append it to 61, then repeat: 616 / 86

On to step 4:
86 goes into 616 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 77.0
The remainder is 14 after subtracting 602 from 616.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 86

Advancing to step 5:
147 divided by 86 is 1 with a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 771.0
Subtracting 86 from 147 leaves us with 61.
Grab the next digit (4) from the dividend, add it to 61, then carry on: 614 / 86

Moving on to step 6:
If we divide 614 by 86, we get 7 and a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7717.0
Subtract 602 from 614 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
86 can be fit into 120 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7717.1
Subtracting 86 from 120 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
340 divided by 86 is 3 with a remainder of 82.
Use 3 as the next digit of our solution. 
Result so far: 7717.13
The remainder is 82 after subtracting 258 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 9:
If we divide 820 by 86, we get 9 and a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 7717.139
Deduct 774 from 820 and we're left 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.

On to step 10:
86 can be fit into 460 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 7717.1395
Subtracting 430 from 460 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
When dividing 300 by 86, we get 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 7717.13953
If we subtract 258 from 300, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
If we divide 420 by 86, we get 4 and a remainder of 76.
The number 4 becomes the next digit in our result. 
Result so far: 7717.139534
If we take 344 away from 420, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 13:
If we divide 760 by 86, we get 8 and a remainder of 72.
The number 8 becomes the next digit in our result. 
Result so far: 7717.1395348
Subtract 688 from 760 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 14:
The number 86 fits into 720 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 7717.13953488
If we take 688 away from 720, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 7717.13953488 with a remaining 3.2e-08.