522159 ÷ 51 
We want to divide 522159 by 51.

On to step 1:
The number 51 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 51

On to step 2:
When dividing 52 by 51, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 52, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 51

Let's proceed to step 3:
When dividing 12 by 51, we get 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 12, we get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 51

Step 4:
121 divided by 51 is 2 with a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 102.0
If we take 102 away from 121, we end up with 19.
Grab the next digit (5) from the dividend, add it to 19, then carry on: 195 / 51

Let's proceed to step 5:
The number 51 fits into 195 3 times, leaving a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 1023.0
If we subtract 153 from 195, we get 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 51

On to step 6:
The number 51 fits into 429 8 times, leaving a remainder of 21.
The next digit of our result is 8. 
Result so far: 10238.0
The remainder is 21 after subtracting 408 from 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 51, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 10238.4
Subtract 204 from 210 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
60 divided by 51 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 10238.41
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
51 goes into 90 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10238.411
Subtract 51 from 90 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 10238.411 with a balance of 0.0039.