We're dividing 765903 by 31 
We want to divide 765903 by 31.

Advancing to step 1:
When dividing 7 by 31, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 31

Let's proceed to step 2:
If we divide 76 by 31, we get 2 and 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.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 31

Step 3:
145 divided by 31 is 4 with a remainder of 21.
The next digit of our result is 4. 
Result so far: 24.0
The remainder is 21 after subtracting 124 from 145.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 31

Step 4:
219 divided by 31 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 247.0
Subtract 217 from 219 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 31

Advancing to step 5:
31 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 2470.0
The remainder is 20 after subtracting 0 from 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 31

Moving on to step 6:
When dividing 203 by 31, we get 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 24706.0
Deduct 186 from 203 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 24706.5
If we take 155 away from 170, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
150 divided by 31 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 24706.54
If we take 124 away from 150, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
31 goes into 260 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 24706.548
Subtracting 248 from 260 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
120 divided by 31 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 24706.5483
Deduct 93 from 120 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 11:
When dividing 270 by 31, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 24706.54838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 31, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 24706.548387
Deduct 217 from 220 and we're left with 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 13:
30 divided by 31 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 24706.548387
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 14:
31 can be fit into 300 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 24706.54838709
Deduct 279 from 300 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 24706.54838709, and the remainder is 2.1e-08.