We're dividing 395642 by 53 
We want to figure out the number of times 395642 can be divided by 53.

Moving on to step 1:
53 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 53

Moving on to step 2:
When dividing 39 by 53, we get 0 with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 39 and we're left with 39.
Take the next digit (5) from the dividend and append it to 39, then repeat: 395 / 53

On to step 3:
If we divide 395 by 53, we get 7 and a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 371 from 395, we get 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 53

Moving on to step 4:
53 can be fit into 246 4 times, resulting in a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 74.0
If we subtract 212 from 246, we get 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 53

Let's proceed to step 5:
344 divided by 53 is 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 746.0
If we take 318 away from 344, we end up with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 53

Step 6:
262 divided by 53 is 4 with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 7464.0
The remainder is 50 after subtracting 212 from 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
500 divided by 53 is 9 with a remainder of 23.
The next digit of our result is 9. 
Result so far: 7464.9
The remainder is 23 after subtracting 477 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
The number 53 fits into 230 4 times, leaving a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 7464.94
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
53 goes into 180 3 times with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 7464.943
Deduct 159 from 180 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.

Step 10:
If we divide 210 by 53, we get 3 and a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 7464.9433
Deduct 159 from 210 and we're left 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.

The final result is 7464.9433 with a remainder of 0.00051.