We're dividing 771125 by 79 
We're looking to find how many times 79 goes into 771125.

On to step 1:
The number 79 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 79

Advancing to step 2:
The number 79 fits into 77 0 times, leaving a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Append the next digit (1) from the dividend to 77 and continue with: 771 / 79

On to step 3:
If we divide 771 by 79, we get 9 and a remainder of 60.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 711 from 771 and we're left with 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 79

Moving on to step 4:
601 divided by 79 is 7 with a remainder of 48.
The next digit of our result is 7. 
Result so far: 97.0
Subtract 553 from 601 to get 48.
Grab the next digit (2) from the dividend, add it to 48, then carry on: 482 / 79

Moving on to step 5:
482 divided by 79 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 976.0
Subtract 474 from 482 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 79

On to step 6:
When dividing 85 by 79, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 9761.0
The remainder is 6 after subtracting 79 from 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
79 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 9761.0
Deduct 0 from 60 and we're left 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.

Advancing to step 8:
79 can be fit into 600 7 times, resulting in a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 9761.07
Deduct 553 from 600 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 9:
If we divide 470 by 79, we get 5 and a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 9761.075
Subtract 395 from 470 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 10:
750 divided by 79 is 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 9761.0759
If we subtract 711 from 750, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 11:
79 goes into 390 4 times with a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 9761.07594
Deduct 316 from 390 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 12:
The number 79 fits into 740 9 times, leaving a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 9761.075949
If we subtract 711 from 740, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
If we divide 290 by 79, we get 3 and a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 9761.0759493
If we subtract 237 from 290, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 14:
530 divided by 79 is 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 9761.07594936
Subtract 474 from 530 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 9761.07594936 with a remaining 5.6e-08.