965877 ÷ 53 
Our goal is to divide 965877 by 53.

On to step 1:
9 divided by 53 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 53

Step 2:
The number 53 fits into 96 1 times, leaving 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.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 53

Moving on to step 3:
The number 53 fits into 435 8 times, leaving a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 11 after subtracting 424 from 435.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 53

Step 4:
118 divided by 53 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 182.0
Subtracting 106 from 118 leaves us with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 53

Moving on to step 5:
53 goes into 127 2 times with a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 1822.0
If we take 106 away from 127, we end up with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 53

Let's proceed to step 6:
53 can be fit into 217 4 times, resulting in a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 18224.0
If we subtract 212 from 217, 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 7:
53 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 18224.0
If we take 0 away from 50, we end up 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.

Step 8:
53 can be fit into 500 9 times, resulting in a remainder of 23.
The next digit of our result is 9. 
Result so far: 18224.09
The remainder is 23 after subtracting 477 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
53 can be fit into 230 4 times, resulting in a remainder of 18.
The next digit of our result is 4. 
Result so far: 18224.094
If we subtract 212 from 230, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
The number 53 fits into 180 3 times, leaving a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 18224.0943
Deduct 159 from 180 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
210 divided by 53 is 3 with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 18224.09433
Deduct 159 from 210 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 18224.09433 with a balance of 5.1e-05.