We look at the division of 635342 by 51 
We're looking to find how many times 51 goes into 635342.

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
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 51

Going ahead to step 2:
If we divide 63 by 51, we get 1 and a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 51 from 63 and we're left with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 51

Let's proceed to step 3:
51 can be fit into 125 2 times, resulting in a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 102 from 125 and we're left with 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 51

Going ahead to step 4:
If we divide 233 by 51, we get 4 and a remainder of 29.
Put 4 as the next digit of the answer. 
Result so far: 124.0
Subtracting 204 from 233 leaves us with 29.
Append the next digit (4) from the dividend to 29 and continue with: 294 / 51

Moving on to step 5:
The number 51 fits into 294 5 times, leaving a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 1245.0
Subtracting 255 from 294 leaves us with 39.
Append the next digit (2) from the dividend to 39 and continue with: 392 / 51

Advancing to step 6:
51 can be fit into 392 7 times, resulting in a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 12457.0
If we subtract 357 from 392, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
350 divided by 51 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 12457.6
The remainder is 44 after subtracting 306 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
If we divide 440 by 51, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 12457.68
If we take 408 away from 440, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
When dividing 320 by 51, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 12457.686
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
51 can be fit into 140 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 12457.6862
The remainder is 38 after subtracting 102 from 140.
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 11:
When dividing 380 by 51, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 12457.68627
Subtracting 357 from 380 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 12:
51 can be fit into 230 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 12457.686274
Subtracting 204 from 230 leaves us with 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 13:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 12457.6862745
If we take 255 away from 260, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
51 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 12457.6862745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 12457.6862745 with a remainder of 5e-08.