We look at the division of 75977 by 79 
Our goal is to divide 75977 by 79.

Moving on to step 1:
79 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 79

Moving on to step 2:
When dividing 75 by 79, we get 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Fetch the next digit (9) from the dividend, attach it to 75 and continue: 759 / 79

Advancing to step 3:
If we divide 759 by 79, we get 9 and a remainder of 48.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 711 from 759 leaves us with 48.
Include the next digit (7) from the dividend after 48, then repeat: 487 / 79

Moving on to step 4:
If we divide 487 by 79, we get 6 and a remainder of 13.
The next digit of our result is 6. 
Result so far: 96.0
Deduct 474 from 487 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 79

Step 5:
The number 79 fits into 137 1 times, leaving a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 961.0
Deduct 79 from 137 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 6:
If we divide 580 by 79, we get 7 and a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 961.7
If we subtract 553 from 580, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
If we divide 270 by 79, we get 3 and a remainder of 33.
The next digit of our result is 3. 
Result so far: 961.73
Subtracting 237 from 270 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
330 divided by 79 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 961.734
Deduct 316 from 330 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 79 fits into 140 1 times, leaving a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 961.7341
If we subtract 79 from 140, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 10:
79 can be fit into 610 7 times, resulting in a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 961.73417
Deduct 553 from 610 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 11:
The number 79 fits into 570 7 times, leaving a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 961.734177
Deduct 553 from 570 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 961.734177 with a balance of 1.7e-06.