Let's divide 397627 by 53
We want to divide 397627 by 53.

Step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 53

Going ahead to step 2:
The number 53 fits into 39 0 times, leaving a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Fetch the next digit (7) from the dividend, attach it to 39 and continue: 397 / 53

On to step 3:
53 can be fit into 397 7 times, resulting in a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 26 after subtracting 371 from 397.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 53

Step 4:
When dividing 266 by 53, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 75.0
Subtract 265 from 266 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 53

Let's proceed to step 5:
When dividing 12 by 53, we get 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 750.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 53

Step 6:
127 divided by 53 is 2 with a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 7502.0
Deduct 106 from 127 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.

Going ahead to step 7:
The number 53 fits into 210 3 times, leaving a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 7502.3
Subtracting 159 from 210 leaves us 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.

Advancing to step 8:
When dividing 510 by 53, we get 9 with a remainder of 33.
The next digit of our result is 9. 
Result so far: 7502.39
If we subtract 477 from 510, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
When dividing 330 by 53, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 7502.396
The remainder is 12 after subtracting 318 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 53, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 7502.3962
Deduct 106 from 120 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
If we divide 140 by 53, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 7502.39622
The remainder is 34 after subtracting 106 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 7502.39622 with a remaining 3.4e-05.