We're dividing 267639 by 42 
Our goal is to divide 267639 by 42.

Moving on to step 1:
The number 42 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 42

Advancing to step 2:
The number 42 fits into 26 0 times, leaving a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Take the next digit (7) from the dividend and append it to 26, then repeat: 267 / 42

Advancing to step 3:
The number 42 fits into 267 6 times, leaving a remainder of 15.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 252 from 267, we get 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 42

Step 4:
The number 42 fits into 156 3 times, leaving a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Deduct 126 from 156 and we're left with 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 42

Going ahead to step 5:
42 can be fit into 303 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 637.0
If we take 294 away from 303, we end up with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 42

Moving on to step 6:
When dividing 99 by 42, we get 2 with a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 6372.0
The remainder is 15 after subtracting 84 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 42, we get 3 with a remainder of 24.
The next digit of our result is 3. 
Result so far: 6372.3
If we subtract 126 from 150, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
If we divide 240 by 42, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6372.35
Subtracting 210 from 240 leaves us with 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 9:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 6372.357
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.

Moving on to step 10:
60 divided by 42 is 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 6372.3571
Subtract 42 from 60 to 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 11:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 6372.35714
If we take 168 away from 180, we end up 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.

Step 12:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 6372.357142
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.

Step 13:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 6372.3571428
If we subtract 336 from 360, we get 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 14:
240 divided by 42 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6372.35714285
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.

After the division, we end up with 6372.35714285 and a remainder of 3e-08.