677504 ÷ 76 
Our goal is to divide 677504 by 76.

Step 1:
When dividing 6 by 76, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 76

Step 2:
If we divide 67 by 76, we get 0 and a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 67 after subtracting 0 from 67.
Append the next digit (7) from the dividend to 67 and continue with: 677 / 76

Advancing to step 3:
76 goes into 677 8 times with a remainder of 69.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 608 from 677 to get 69.
Append the next digit (5) from the dividend to 69 and continue with: 695 / 76

Advancing to step 4:
If we divide 695 by 76, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 89.0
If we take 684 away from 695, we end up with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 76

Moving on to step 5:
76 can be fit into 110 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 891.0
Subtract 76 from 110 to get 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 76

Step 6:
76 goes into 344 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 8914.0
Subtracting 304 from 344 leaves us 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.

Going ahead to step 7:
When dividing 400 by 76, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 8914.5
The remainder is 20 after subtracting 380 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 76 fits into 200 2 times, leaving a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 8914.52
Subtracting 152 from 200 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
76 goes into 480 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 8914.526
Subtract 456 from 480 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
76 can be fit into 240 3 times, resulting in a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 8914.5263
If we subtract 228 from 240, we 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 11:
The number 76 fits into 120 1 times, leaving a remainder of 44.
Put 1 as the next digit of the answer. 
Result so far: 8914.52631
The remainder is 44 after subtracting 76 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 12:
When dividing 440 by 76, we get 5 with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 8914.526315
Subtracting 380 from 440 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
If we divide 600 by 76, we get 7 and a remainder of 68.
Record the quotient 7 as the next digit in the result. 
Result so far: 8914.5263157
If we subtract 532 from 600, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 14:
76 goes into 680 8 times with a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 8914.52631578
If we subtract 608 from 680, we 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.

In conclusion, the division gives 8914.52631578 with a balance of 7.2e-08.