We divide 260864 by 42
We're looking to find how many times 42 goes into 260864.

Step 1:
42 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 42

Step 2:
The number 42 fits into 26 0 times, leaving a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 42

Going ahead to step 3:
260 divided by 42 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 252 from 260 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 42

Going ahead to step 4:
If we divide 88 by 42, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtracting 84 from 88 leaves us with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 42

Step 5:
When dividing 46 by 42, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 621.0
If we take 42 away from 46, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 42

Going ahead to step 6:
If we divide 44 by 42, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 6211.0
If we subtract 42 from 44, 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.

Step 7:
If we divide 20 by 42, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 6211.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
42 goes into 200 4 times with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 6211.04
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 6211.047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
If we divide 260 by 42, we get 6 and a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6211.0476
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.

Going ahead to step 11:
42 goes into 80 1 times with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 6211.04761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6211.047619
Deduct 378 from 380 and we're left with 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 13:
20 divided by 42 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6211.047619
Deduct 0 from 20 and we're left 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.

Advancing to step 14:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 6211.04761904
If we take 168 away from 200, we end up 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.

The final result is 6211.04761904 with a remainder of 3.2e-08.