We look at the division of 603270 by 53 
We're looking to find how many times 53 goes into 603270.

Advancing to step 1:
When dividing 6 by 53, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 53

Advancing to step 2:
60 divided by 53 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 53 away from 60, we end up with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 53

Advancing to step 3:
The number 53 fits into 73 1 times, leaving a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 53 away from 73, we end up with 20.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 53

Moving on to step 4:
53 can be fit into 202 3 times, resulting in a remainder of 43.
Write down 3 as next digit of the result. 
Result so far: 113.0
If we take 159 away from 202, we end up with 43.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 53

Advancing to step 5:
53 goes into 437 8 times with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 1138.0
If we subtract 424 from 437, we get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 53

Let's proceed to step 6:
When dividing 130 by 53, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 11382.0
Subtracting 106 from 130 leaves us 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.

Advancing to step 7:
53 can be fit into 240 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 11382.4
If we subtract 212 from 240, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
If we divide 280 by 53, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 11382.45
Subtract 265 from 280 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
If we divide 150 by 53, we get 2 and a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 11382.452
If we take 106 away from 150, we end up 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.

Moving on to step 10:
53 can be fit into 440 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 11382.4528
Deduct 424 from 440 and we're left with 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 11:
When dividing 160 by 53, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 11382.45283
Subtract 159 from 160 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
The number 53 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11382.45283
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
When dividing 100 by 53, we get 1 with a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 11382.4528301
If we subtract 53 from 100, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 14:
53 can be fit into 470 8 times, resulting in a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 11382.45283018
If we take 424 away from 470, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

After the division, we end up with 11382.45283018 and a remainder of 4.6e-08.