Let's divide 643344 by 42
We want to divide 643344 by 42.

Step 1:
42 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 42

On to step 2:
The number 42 fits into 64 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 42 from 64 leaves us with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 42

Moving on to step 3:
When dividing 223 by 42, we get 5 with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 210 from 223 and we're left with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 42

Moving on to step 4:
42 goes into 133 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 153.0
If we subtract 126 from 133, we get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 42

Going ahead to step 5:
The number 42 fits into 74 1 times, leaving a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1531.0
The remainder is 32 after subtracting 42 from 74.
Take the next digit (4) from the dividend and append it to 32, then repeat: 324 / 42

Going ahead to step 6:
42 can be fit into 324 7 times, resulting in a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 15317.0
Subtract 294 from 324 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 15317.7
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 15317.71
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 15317.714
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
120 divided by 42 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 15317.7142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 15317.71428
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 15317.714285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 15317.7142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 15317.71428571
Deduct 42 from 60 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.

Our division results in 15317.71428571 with a remaining 1.8e-08.