We look at the division of 642375 by 53 
We're looking to find how many times 53 goes into 642375.

Going ahead to step 1:
6 divided by 53 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 53

Step 2:
53 can be fit into 64 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 53 from 64, we get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 53

Advancing to step 3:
When dividing 112 by 53, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 106 from 112 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 53

Advancing to step 4:
If we divide 63 by 53, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 121.0
If we subtract 53 from 63, we get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 53

On to step 5:
When dividing 107 by 53, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 1212.0
The remainder is 1 after subtracting 106 from 107.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 53

On to step 6:
The number 53 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 12120.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
If we divide 150 by 53, we get 2 and a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 12120.2
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.

Going ahead to step 8:
The number 53 fits into 440 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 12120.28
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.

Let's proceed to step 9:
If we divide 160 by 53, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 12120.283
If we subtract 159 from 160, we 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.

Advancing to step 10:
10 divided by 53 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12120.283
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 11:
53 goes into 100 1 times with a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 12120.28301
Subtract 53 from 100 to 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.

Going ahead to step 12:
When dividing 470 by 53, we get 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 12120.283018
If we subtract 424 from 470, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 13:
53 goes into 460 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 12120.2830188
Subtract 424 from 460 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 12120.2830188 with a remaining 3.6e-07.