We look at the division of 633305 by 51 
We want to divide 633305 by 51.

On to step 1:
If we divide 6 by 51, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 51

Advancing to step 2:
51 can be fit into 63 1 times, resulting in a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 51 from 63 to get 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 51

Step 3:
51 goes into 123 2 times with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 102 from 123 and we're left with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 51

Let's proceed to step 4:
If we divide 213 by 51, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 124.0
Subtracting 204 from 213 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 51

Advancing to step 5:
The number 51 fits into 90 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 1241.0
Subtracting 51 from 90 leaves us with 39.
Take the next digit (5) from the dividend and append it to 39, then repeat: 395 / 51

Going ahead to step 6:
If we divide 395 by 51, we get 7 and a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 12417.0
If we take 357 away from 395, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
When dividing 380 by 51, we get 7 with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 12417.7
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.

Advancing to step 8:
When dividing 230 by 51, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 12417.74
If we subtract 204 from 230, we 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 9:
If we divide 260 by 51, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12417.745
If we subtract 255 from 260, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 51 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 12417.745
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
500 divided by 51 is 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 12417.74509
Subtracting 459 from 500 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 12:
If we divide 410 by 51, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 12417.745098
Subtracting 408 from 410 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
If we divide 20 by 51, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12417.745098
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
51 goes into 200 3 times with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 12417.74509803
Subtract 153 from 200 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final outcome is 12417.74509803, with a leftover of 4.7e-08.