We divide 259217 by 51
We want to divide 259217 by 51.

Advancing to step 1:
When dividing 2 by 51, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 51

On to step 2:
The number 51 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 51

Advancing to step 3:
The number 51 fits into 259 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 255 from 259 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 51

On to step 4:
51 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 50.0
The remainder is 42 after subtracting 0 from 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 51

Step 5:
421 divided by 51 is 8 with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 508.0
Deduct 408 from 421 and we're left with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 51

Going ahead to step 6:
51 goes into 137 2 times with a remainder of 35.
The next digit of our result is 2. 
Result so far: 5082.0
If we subtract 102 from 137, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
51 goes into 350 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 5082.6
If we take 306 away from 350, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
51 goes into 440 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 5082.68
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
51 can be fit into 320 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 5082.686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
When dividing 140 by 51, we get 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 5082.6862
Subtract 102 from 140 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
51 goes into 380 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 5082.68627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 12:
230 divided by 51 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 5082.686274
Subtract 204 from 230 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
260 divided by 51 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5082.6862745
Deduct 255 from 260 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
When dividing 50 by 51, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 5082.6862745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 5082.6862745 with a balance of 5e-08.