We look at the division of 668134 by 51 
Let's see how many times 51 fits into 668134.

Advancing to step 1:
51 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 51

Advancing to step 2:
The number 51 fits into 66 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 51 away from 66, we end up with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 51

Advancing to step 3:
If we divide 158 by 51, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 153 from 158 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 51

Moving on to step 4:
The number 51 fits into 51 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 131.0
Deduct 51 from 51 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 51

Advancing to step 5:
51 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 1310.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 51

Advancing to step 6:
51 goes into 34 0 times with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 13100.0
If we take 0 away from 34, 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.

Moving on to step 7:
The number 51 fits into 340 6 times, leaving a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 13100.6
If we subtract 306 from 340, we get 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 8:
51 can be fit into 340 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 13100.66
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.

The quotient of the division is 13100.66, and the remainder is 0.034.