We look at the division of 687351 by 53 
Our goal is to divide 687351 by 53.

Going ahead to step 1:
6 divided by 53 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 53

Advancing to step 2:
53 can be fit into 68 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 53 away from 68, we end up with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 53

Step 3:
53 goes into 157 2 times with a remainder of 51.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 106 from 157, we get 51.
Include the next digit (3) from the dividend after 51, then repeat: 513 / 53

Moving on to step 4:
If we divide 513 by 53, we get 9 and a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 129.0
The remainder is 36 after subtracting 477 from 513.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 53

Let's proceed to step 5:
53 can be fit into 365 6 times, resulting in a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 1296.0
Subtract 318 from 365 to get 47.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 53

Advancing to step 6:
53 goes into 471 8 times with a remainder of 47.
Put 8 as the next digit of the answer. 
Result so far: 12968.0
Subtract 424 from 471 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.

Let's proceed to step 7:
53 goes into 470 8 times with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 12968.8
Subtract 424 from 470 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
460 divided by 53 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 12968.88
If we subtract 424 from 460, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 12968.88, and the remainder is 0.036.