We're dividing 644294 by 42 
We want to divide 644294 by 42.

Advancing to step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 42

Moving on to step 2:
When dividing 64 by 42, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 22 after subtracting 42 from 64.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 42

Let's proceed to step 3:
42 goes into 224 5 times with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 14 after subtracting 210 from 224.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 42

Going ahead to step 4:
When dividing 142 by 42, we get 3 with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 153.0
Deduct 126 from 142 and we're left with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 42

Going ahead to step 5:
169 divided by 42 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 1534.0
Subtracting 168 from 169 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 42

Going ahead to step 6:
If we divide 14 by 42, we get 0 and a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 15340.0
Subtracting 0 from 14 leaves us 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.

Going ahead to step 7:
When dividing 140 by 42, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 15340.3
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
140 divided by 42 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 15340.33
Subtracting 126 from 140 leaves us 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.

Our division results in 15340.33 with a remaining 0.014.