We're dividing 34266 by 51 
We want to divide 34266 by 51.

Moving on to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 51

Let's proceed to step 2:
If we divide 34 by 51, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (2) from the dividend after 34, then repeat: 342 / 51

Step 3:
The number 51 fits into 342 6 times, leaving a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 306 from 342 to get 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 51

On to step 4:
The number 51 fits into 366 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtracting 357 from 366 leaves us with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 51

On to step 5:
96 divided by 51 is 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
If we take 51 away from 96, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
The number 51 fits into 450 8 times, leaving a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 671.8
Subtracting 408 from 450 leaves us 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.

Advancing to step 7:
420 divided by 51 is 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 671.88
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 671.88 with a remaining 0.012.