We look at the division of 234297 by 51 
We want to figure out the number of times 234297 can be divided by 51.

Going ahead to step 1:
51 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 51

Moving on to step 2:
When dividing 23 by 51, we get 0 with a remainder of 23.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 23, we end up with 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 51

Advancing to step 3:
51 goes into 234 4 times with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 30 after subtracting 204 from 234.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 51

Advancing to step 4:
51 goes into 302 5 times with a remainder of 47.
Write down 5 as next digit of the result. 
Result so far: 45.0
The remainder is 47 after subtracting 255 from 302.
Grab the next digit (9) from the dividend, add it to 47, then carry on: 479 / 51

On to step 5:
479 divided by 51 is 9 with a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 459.0
If we take 459 away from 479, we end up with 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 51

Moving on to step 6:
207 divided by 51 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4594.0
Subtract 204 from 207 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 51, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 4594.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 51 fits into 300 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 4594.05
The remainder is 45 after subtracting 255 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
450 divided by 51 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 4594.058
Deduct 408 from 450 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
If we divide 420 by 51, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 4594.0588
Subtracting 408 from 420 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.

Our division results in 4594.0588 with a remaining 0.00012.