We look at the division of 76823 by 51 
We're looking to find how many times 51 goes into 76823.

On to step 1:
The number 51 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 51

Step 2:
76 divided by 51 is 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 76, we end up with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 51

Going ahead to step 3:
If we divide 258 by 51, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we take 255 away from 258, we end up with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 51

Advancing to step 4:
The number 51 fits into 32 0 times, leaving a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 150.0
Subtract 0 from 32 to get 32.
Take the next digit (3) from the dividend and append it to 32, then repeat: 323 / 51

Step 5:
If we divide 323 by 51, we get 6 and a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 1506.0
Subtracting 306 from 323 leaves us 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.

Going ahead to step 6:
The number 51 fits into 170 3 times, leaving a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1506.3
If we take 153 away from 170, we end up 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.

On to step 7:
51 can be fit into 170 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 1506.33
If we take 153 away from 170, we end up 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.

The final outcome is 1506.33, with a leftover of 0.017.