We're dividing 677442 by 77 
Our goal is to divide 677442 by 77.

Advancing to step 1:
77 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 77

On to step 2:
The number 77 fits into 67 0 times, leaving a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 67, we get 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 77

Moving on to step 3:
77 goes into 677 8 times with a remainder of 61.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 616 from 677, we get 61.
Take the next digit (4) from the dividend and append it to 61, then repeat: 614 / 77

Going ahead to step 4:
When dividing 614 by 77, we get 7 with a remainder of 75.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtracting 539 from 614 leaves us with 75.
Append the next digit (4) from the dividend to 75 and continue with: 754 / 77

Moving on to step 5:
77 goes into 754 9 times with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 879.0
The remainder is 61 after subtracting 693 from 754.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 77

Let's proceed to step 6:
When dividing 612 by 77, we get 7 with a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 8797.0
If we take 539 away from 612, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 7:
The number 77 fits into 730 9 times, leaving a remainder of 37.
The next digit of our result is 9. 
Result so far: 8797.9
Deduct 693 from 730 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 8:
370 divided by 77 is 4 with a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 8797.94
The remainder is 62 after subtracting 308 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 9:
77 goes into 620 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 8797.948
The remainder is 4 after subtracting 616 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 77, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8797.948
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
77 can be fit into 400 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 8797.94805
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
If we divide 150 by 77, we get 1 and a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 8797.948051
If we subtract 77 from 150, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 13:
77 can be fit into 730 9 times, resulting in a remainder of 37.
The next digit of our result is 9. 
Result so far: 8797.9480519
If we take 693 away from 730, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 14:
If we divide 370 by 77, we get 4 and a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 8797.94805194
The remainder is 62 after subtracting 308 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The final result is 8797.94805194 with a remainder of 6.2e-08.