263198 divided by 42 
Our goal is to divide 263198 by 42.

On to step 1:
2 divided by 42 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 42

On to step 2:
If we divide 26 by 42, we get 0 and a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 42

Moving on to step 3:
The number 42 fits into 263 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 252 from 263 to get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 42

Moving on to step 4:
111 divided by 42 is 2 with a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtracting 84 from 111 leaves us with 27.
Include the next digit (9) from the dividend after 27, then repeat: 279 / 42

Let's proceed to step 5:
42 can be fit into 279 6 times, resulting in a remainder of 27.
The next digit of our result is 6. 
Result so far: 626.0
Deduct 252 from 279 and we're left with 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 42

Going ahead to step 6:
42 goes into 278 6 times with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 6266.0
If we subtract 252 from 278, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
If we divide 260 by 42, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6266.6
Subtracting 252 from 260 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
If we divide 80 by 42, we get 1 and a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 6266.61
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
If we divide 380 by 42, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 6266.619
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
42 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6266.619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
42 goes into 200 4 times with a remainder of 32.
The next digit of our result is 4. 
Result so far: 6266.61904
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 6266.619047
If we take 294 away from 320, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
260 divided by 42 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6266.6190476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
80 divided by 42 is 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 6266.61904761
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 6266.61904761 with a balance of 3.8e-08.