We look at the division of 766110 by 31 
We want to figure out the number of times 766110 can be divided by 31.

Let's proceed to step 1:
7 divided by 31 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 31

Let's proceed to step 2:
When dividing 76 by 31, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 62 from 76, we get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 31

Moving on to step 3:
146 divided by 31 is 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Deduct 124 from 146 and we're left with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 31

On to step 4:
If we divide 221 by 31, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 247.0
Deduct 217 from 221 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 31

Advancing to step 5:
31 can be fit into 41 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 2471.0
Deduct 31 from 41 and we're left with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 31

Moving on to step 6:
31 can be fit into 100 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 24713.0
If we subtract 93 from 100, we 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.

Step 7:
31 goes into 70 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 24713.2
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 31 fits into 80 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 24713.22
If we subtract 62 from 80, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 24713.22 with a balance of 0.018.