We're dividing 776693 by 31 
We want to divide 776693 by 31.

Advancing to step 1:
If we divide 7 by 31, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 31

Moving on to step 2:
When dividing 77 by 31, we get 2 with a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 62 away from 77, we end up with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 31

Advancing to step 3:
31 goes into 156 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtract 155 from 156 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 31

Going ahead to step 4:
16 divided by 31 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 250.0
Subtracting 0 from 16 leaves us with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 31

Advancing to step 5:
If we divide 169 by 31, we get 5 and a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 2505.0
Deduct 155 from 169 and we're left with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 31

Going ahead to step 6:
If we divide 143 by 31, we get 4 and a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 25054.0
Subtract 124 from 143 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 31, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 25054.6
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
31 goes into 40 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 25054.61
If we subtract 31 from 40, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
31 goes into 90 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 25054.612
If we subtract 62 from 90, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
31 can be fit into 280 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 25054.6129
If we subtract 279 from 280, we 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.

Going ahead to step 11:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 25054.6129
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
The number 31 fits into 100 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 25054.612903
Subtract 93 from 100 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
31 can be fit into 70 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 25054.6129032
The remainder is 8 after subtracting 62 from 70.
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 14:
When dividing 80 by 31, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 25054.61290322
The remainder is 18 after subtracting 62 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 25054.61290322 and a remainder of 1.8e-08.