965637 ÷ 53 
We're looking to find how many times 53 goes into 965637.

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 subtract 0 from 9, we get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 53

Step 2:
96 divided by 53 is 1 with a remainder of 43.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 53 from 96 to get 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 53

Moving on to step 3:
The number 53 fits into 435 8 times, leaving a remainder of 11.
The next digit of our result is 8. 
Result so far: 18.0
If we take 424 away from 435, we end up with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 53

Let's proceed to step 4:
If we divide 116 by 53, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 182.0
If we subtract 106 from 116, we get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 53

Step 5:
53 goes into 103 1 times with a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 1821.0
Subtracting 53 from 103 leaves us with 50.
Grab the next digit (7) from the dividend, add it to 50, then carry on: 507 / 53

On to step 6:
If we divide 507 by 53, we get 9 and a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 18219.0
Subtract 477 from 507 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 53, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 18219.5
Subtracting 265 from 300 leaves us 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.

Advancing to step 8:
53 goes into 350 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 18219.56
Subtract 318 from 350 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.

Going ahead to step 9:
The number 53 fits into 320 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 18219.566
If we take 318 away from 320, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 18219.566 and a remainder of 0.0002.