663225 ÷ 53 
We're looking to find how many times 53 goes into 663225.

Advancing 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.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 53

Advancing to step 2:
66 divided by 53 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
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

Step 3:
133 divided by 53 is 2 with a remainder of 27.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 106 from 133, we get 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 53

Let's proceed to step 4:
272 divided by 53 is 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Deduct 265 from 272 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 53

Advancing to step 5:
When dividing 72 by 53, we get 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 1251.0
Subtract 53 from 72 to get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 53

On to step 6:
When dividing 195 by 53, we get 3 with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 12513.0
If we take 159 away from 195, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
53 goes into 360 6 times with a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 12513.6
If we subtract 318 from 360, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
The number 53 fits into 420 7 times, leaving a remainder of 49.
The number 7 becomes the next digit in our result. 
Result so far: 12513.67
Subtract 371 from 420 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 9:
When dividing 490 by 53, we get 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 12513.679
The remainder is 13 after subtracting 477 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
If we divide 130 by 53, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 12513.6792
Deduct 106 from 130 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
53 goes into 240 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 12513.67924
Deduct 212 from 240 and we're left 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.

Let's proceed to step 12:
If we divide 280 by 53, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 12513.679245
The remainder is 15 after subtracting 265 from 280.
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 13:
The number 53 fits into 150 2 times, leaving a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 12513.6792452
Subtracting 106 from 150 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 14:
When dividing 440 by 53, we get 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 12513.67924528
The remainder is 16 after subtracting 424 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 12513.67924528 with a remainder of 1.6e-08.