Let's divide 771979 by 7
Our goal is to divide 771979 by 7.

Step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 7 from 7 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 7

Moving on to step 2:
7 divided by 7 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Advancing to step 3:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 110.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 7

Let's proceed to step 4:
When dividing 19 by 7, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 1102.0
Subtract 14 from 19 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 7

Step 5:
57 divided by 7 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 11028.0
The remainder is 1 after subtracting 56 from 57.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 7

Advancing to step 6:
If we divide 19 by 7, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 110282.0
Subtract 14 from 19 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.

Going ahead to step 7:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 110282.7
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 110282.71
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 110282.714
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 110282.7142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 110282.71428
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 110282.714285
Subtracting 35 from 40 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 110282.7142857
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 110282.71428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 110282.71428571 with a balance of 3e-09.