We're dividing 266263 by 42 
Our goal is to divide 266263 by 42.

Advancing to step 1:
When dividing 2 by 42, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 42

Moving on to step 2:
If we divide 26 by 42, we get 0 and a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 42

Moving on to step 3:
266 divided by 42 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 252 from 266, we get 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 42

Going ahead to step 4:
42 can be fit into 142 3 times, resulting in a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we subtract 126 from 142, we get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 42

Going ahead to step 5:
When dividing 166 by 42, we get 3 with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 633.0
If we subtract 126 from 166, we get 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 42

On to step 6:
When dividing 403 by 42, we get 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 6339.0
Subtracting 378 from 403 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
If we divide 250 by 42, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 6339.5
The remainder is 40 after subtracting 210 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
42 goes into 400 9 times with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 6339.59
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 6339.595
If we take 210 away from 220, we end up 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.

On to step 10:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 6339.5952
If we subtract 84 from 100, we get 16.
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 11:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 6339.59523
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
340 divided by 42 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 6339.595238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
When dividing 40 by 42, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6339.595238
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 6339.59523809
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 6339.59523809 with a balance of 2.2e-08.