We look at the division of 422263 by 51 
Our goal is to divide 422263 by 51.

Going ahead to step 1:
If we divide 4 by 51, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 51

Step 2:
The number 51 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 51

Moving on to step 3:
51 goes into 422 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 408 away from 422, we end up with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 51

Let's proceed to step 4:
51 can be fit into 142 2 times, resulting in a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 82.0
The remainder is 40 after subtracting 102 from 142.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 51

Step 5:
51 can be fit into 406 7 times, resulting in a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 827.0
If we subtract 357 from 406, we get 49.
Grab the next digit (3) from the dividend, add it to 49, then carry on: 493 / 51

Advancing to step 6:
When dividing 493 by 51, we get 9 with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 8279.0
If we take 459 away from 493, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
51 goes into 340 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 8279.6
If we take 306 away from 340, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
340 divided by 51 is 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 8279.66
Subtracting 306 from 340 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 8279.66 with a remainder of 0.034.