We're dividing 643942 by 57 
We're looking to find how many times 57 goes into 643942.

Let's proceed to step 1:
When dividing 6 by 57, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 57

Moving on to step 2:
64 divided by 57 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 57 from 64 leaves us with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 57

Moving on to step 3:
73 divided by 57 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 57 from 73, we get 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 57

On to step 4:
57 goes into 169 2 times with a remainder of 55.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Subtract 114 from 169 to get 55.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 57

Going ahead to step 5:
554 divided by 57 is 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 1129.0
The remainder is 41 after subtracting 513 from 554.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 57

Let's proceed to step 6:
If we divide 412 by 57, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 11297.0
If we subtract 399 from 412, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
57 can be fit into 130 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 11297.2
Deduct 114 from 130 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.

Step 8:
The number 57 fits into 160 2 times, leaving a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 11297.22
If we take 114 away from 160, 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 11297.22 and a remainder of 0.046.