We look at the division of 768107 by 31 
We're looking to find how many times 31 goes into 768107.

Advancing to step 1:
When dividing 7 by 31, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 31

On to step 2:
When dividing 76 by 31, we get 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 2.0
If we take 62 away from 76, we end up with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 31

Let's proceed to step 3:
31 can be fit into 148 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Deduct 124 from 148 and we're left with 24.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 31

Advancing to step 4:
241 divided by 31 is 7 with a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 247.0
If we take 217 away from 241, we end up with 24.
Fetch the next digit (0) from the dividend, attach it to 24 and continue: 240 / 31

Going ahead to step 5:
If we divide 240 by 31, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 2477.0
If we subtract 217 from 240, we get 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 31

Step 6:
237 divided by 31 is 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 24777.0
If we subtract 217 from 237, we 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.

Step 7:
31 can be fit into 200 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 24777.6
If we subtract 186 from 200, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
The number 31 fits into 140 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 24777.64
Subtract 124 from 140 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
31 goes into 160 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 24777.645
Subtract 155 from 160 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.

Let's proceed to step 10:
If we divide 50 by 31, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 24777.6451
The remainder is 19 after subtracting 31 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
The number 31 fits into 190 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 24777.64516
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.

Going ahead to step 12:
31 goes into 40 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 24777.645161
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.

Moving on to step 13:
If we divide 90 by 31, we get 2 and a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 24777.6451612
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
When dividing 280 by 31, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 24777.64516129
Subtract 279 from 280 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.

Our division results in 24777.64516129 with a remaining 1e-09.