We look at the division of 65608640 by 677 
Our goal is to divide 65608640 by 677.

Going ahead to step 1:
When dividing 6 by 677, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 677

Moving on to step 2:
If we divide 65 by 677, we get 0 and a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Grab the next digit (6) from the dividend, add it to 65, then carry on: 656 / 677

Going ahead to step 3:
677 can be fit into 656 0 times, resulting in a remainder of 656.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 656 and we're left with 656.
Append the next digit (0) from the dividend to 656 and continue with: 6560 / 677

Advancing to step 4:
677 can be fit into 6560 9 times, resulting in a remainder of 467.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 467 after subtracting 6093 from 6560.
Bring next digit (8) of the dividend behind the 467 and repeat the process: 4678 / 677

Moving on to step 5:
4678 divided by 677 is 6 with a remainder of 616.
Write down 6 as next digit of the result. 
Result so far: 96.0
Deduct 4062 from 4678 and we're left with 616.
Include the next digit (6) from the dividend after 616, then repeat: 6166 / 677

Moving on to step 6:
When dividing 6166 by 677, we get 9 with a remainder of 73.
The next digit of our result is 9. 
Result so far: 969.0
Subtracting 6093 from 6166 leaves us with 73.
Append the next digit (4) from the dividend to 73 and continue with: 734 / 677

Moving on to step 7:
677 goes into 734 1 times with a remainder of 57.
The next digit of our result is 1. 
Result so far: 9691.0
Deduct 677 from 734 and we're left with 57.
Bring next digit (0) of the dividend behind the 57 and repeat the process: 570 / 677

Moving on to step 8:
677 goes into 570 0 times with a remainder of 570.
Use 0 as the next digit of our solution. 
Result so far: 96910.0
If we take 0 away from 570, we end up with 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5700, and continue the process.

Moving on to step 9:
677 goes into 5700 8 times with a remainder of 284.
Record the quotient 8 as the next digit in the result. 
Result so far: 96910.8
If we subtract 5416 from 5700, we get 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

On to step 10:
The number 677 fits into 2840 4 times, leaving a remainder of 132.
The next digit of our result is 4. 
Result so far: 96910.84
Subtracting 2708 from 2840 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Let's proceed to step 11:
The number 677 fits into 1320 1 times, leaving a remainder of 643.
Write down 1 as next digit of the result. 
Result so far: 96910.841
The remainder is 643 after subtracting 677 from 1320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6430, and continue the process.

Going ahead to step 12:
677 can be fit into 6430 9 times, resulting in a remainder of 337.
Use 9 as the next digit of our solution. 
Result so far: 96910.8419
If we subtract 6093 from 6430, we get 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Advancing to step 13:
677 can be fit into 3370 4 times, resulting in a remainder of 662.
Use 4 as the next digit of our solution. 
Result so far: 96910.84194
The remainder is 662 after subtracting 2708 from 3370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Advancing to step 14:
When dividing 6620 by 677, we get 9 with a remainder of 527.
Record the quotient 9 as the next digit in the result. 
Result so far: 96910.841949
Subtracting 6093 from 6620 leaves us with 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5270, and continue the process.

Moving on to step 15:
677 can be fit into 5270 7 times, resulting in a remainder of 531.
The next digit of our result is 7. 
Result so far: 96910.8419497
Subtracting 4739 from 5270 leaves us with 531.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5310, and continue the process.

Moving on to step 16:
5310 divided by 677 is 7 with a remainder of 571.
The number 7 becomes the next digit in our result. 
Result so far: 96910.84194977
Subtracting 4739 from 5310 leaves us with 571.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5710, and continue the process.

After the division, we end up with 96910.84194977 and a remainder of 5.71e-07.