We look at the division of 632957 by 51 
We're looking to find how many times 51 goes into 632957.

Advancing 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.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 51

Step 2:
If we divide 63 by 51, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 51 from 63 leaves us with 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 51

Going ahead to step 3:
The number 51 fits into 122 2 times, leaving a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 102 from 122 and we're left with 20.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 51

Let's proceed to step 4:
51 can be fit into 209 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 124.0
The remainder is 5 after subtracting 204 from 209.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 51

Advancing to step 5:
55 divided by 51 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1241.0
Subtracting 51 from 55 leaves us with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 51

Let's proceed to step 6:
51 goes into 47 0 times with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 12410.0
Subtracting 0 from 47 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
When dividing 470 by 51, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 12410.9
The remainder is 11 after subtracting 459 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
110 divided by 51 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 12410.92
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
51 goes into 80 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 12410.921
If we take 51 away from 80, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 10:
If we divide 290 by 51, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 12410.9215
Deduct 255 from 290 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
If we divide 350 by 51, we get 6 and a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 12410.92156
Deduct 306 from 350 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 12:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 12410.921568
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
51 goes into 320 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 12410.9215686
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
The number 51 fits into 140 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 12410.92156862
Subtract 102 from 140 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final outcome is 12410.92156862, with a leftover of 3.8e-08.