631296 ÷ 53 
Our goal is to divide 631296 by 53.

Let's proceed to step 1:
6 divided by 53 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 53

Let's proceed to step 2:
53 goes into 63 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 53 from 63 and we're left with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 53

Advancing to step 3:
101 divided by 53 is 1 with a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 53 from 101 leaves us with 48.
Include the next digit (2) from the dividend after 48, then repeat: 482 / 53

Let's proceed to step 4:
If we divide 482 by 53, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
Deduct 477 from 482 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 53

Going ahead to step 5:
59 divided by 53 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1191.0
If we subtract 53 from 59, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 53

Moving on to step 6:
The number 53 fits into 66 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 11911.0
Deduct 53 from 66 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
130 divided by 53 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 11911.2
The remainder is 24 after subtracting 106 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 53 fits into 240 4 times, leaving a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 11911.24
Subtracting 212 from 240 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 53, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 11911.245
Subtracting 265 from 280 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
53 goes into 150 2 times with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 11911.2452
If we subtract 106 from 150, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
When dividing 440 by 53, we get 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 11911.24528
If we subtract 424 from 440, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
160 divided by 53 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 11911.245283
If we take 159 away from 160, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
53 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 11911.245283
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
53 can be fit into 100 1 times, resulting in a remainder of 47.
The next digit of our result is 1. 
Result so far: 11911.24528301
Subtracting 53 from 100 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The quotient of the division is 11911.24528301, and the remainder is 4.7e-08.