76679 ÷ 78 
Our goal is to divide 76679 by 78.

Step 1:
78 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 78

Going ahead to step 2:
76 divided by 78 is 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Bring next digit (6) of the dividend behind the 76 and repeat the process: 766 / 78

Advancing to step 3:
766 divided by 78 is 9 with a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 702 from 766 leaves us with 64.
Bring next digit (7) of the dividend behind the 64 and repeat the process: 647 / 78

Going ahead to step 4:
647 divided by 78 is 8 with a remainder of 23.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Deduct 624 from 647 and we're left with 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 78

On to step 5:
239 divided by 78 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 983.0
Subtract 234 from 239 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
If we divide 50 by 78, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 983.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
The number 78 fits into 500 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 983.06
Subtracting 468 from 500 leaves us 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.

Advancing to step 8:
320 divided by 78 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 983.064
Subtract 312 from 320 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
78 goes into 80 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 983.0641
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
If we divide 20 by 78, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 983.0641
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
200 divided by 78 is 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 983.064102
Deduct 156 from 200 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
When dividing 440 by 78, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 983.0641025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
500 divided by 78 is 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 983.06410256
Subtract 468 from 500 to get 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 983.06410256 with a remaining 3.2e-08.