We look at the division of 669363 by 51 
We want to divide 669363 by 51.

Advancing to step 1:
6 divided by 51 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
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:
66 divided by 51 is 1 with 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.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 51

On to step 3:
51 goes into 159 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we subtract 153 from 159, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 51

Moving on to step 4:
51 can be fit into 63 1 times, resulting in a remainder of 12.
The next digit of our result is 1. 
Result so far: 131.0
Subtracting 51 from 63 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 51

Advancing to step 5:
When dividing 126 by 51, we get 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 1312.0
If we subtract 102 from 126, we get 24.
Append the next digit (3) from the dividend to 24 and continue with: 243 / 51

Advancing to step 6:
243 divided by 51 is 4 with a remainder of 39.
The number 4 becomes the next digit in our result. 
Result so far: 13124.0
Deduct 204 from 243 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
When dividing 390 by 51, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 13124.7
Subtracting 357 from 390 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
If we divide 330 by 51, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 13124.76
If we take 306 away from 330, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
When dividing 240 by 51, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 13124.764
The remainder is 36 after subtracting 204 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
The number 51 fits into 360 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 13124.7647
Deduct 357 from 360 and we're left with 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 11:
When dividing 30 by 51, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 13124.7647
Subtract 0 from 30 to 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.

Moving on to step 12:
300 divided by 51 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 13124.764705
Subtracting 255 from 300 leaves us 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.

Let's proceed to step 13:
450 divided by 51 is 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 13124.7647058
If we take 408 away from 450, we end up 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.

On to step 14:
51 can be fit into 420 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 13124.76470588
If we take 408 away from 420, we end up 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.

After the division, we end up with 13124.76470588 and a remainder of 1.2e-08.