We look at the division of 960637 by 53 
Let's see how many times 53 fits into 960637.

On to step 1:
9 divided by 53 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 53

Moving on to step 2:
53 can be fit into 96 1 times, resulting in a remainder of 43.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 43 after subtracting 53 from 96.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 53

Step 3:
The number 53 fits into 430 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 424 from 430 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 53

Moving on to step 4:
53 can be fit into 66 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 181.0
Deduct 53 from 66 and we're left with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 53

On to step 5:
53 goes into 133 2 times with a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 1812.0
Deduct 106 from 133 and we're left with 27.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 53

Advancing to step 6:
53 goes into 277 5 times with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 18125.0
The remainder is 12 after subtracting 265 from 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
When dividing 120 by 53, we get 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 18125.2
The remainder is 14 after subtracting 106 from 120.
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 8:
If we divide 140 by 53, we get 2 and a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 18125.22
Subtract 106 from 140 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 18125.22 with a remaining 0.034.