We divide 260181 by 42
We're looking to find how many times 42 goes into 260181.

On to step 1:
When dividing 2 by 42, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 42

Step 2:
26 divided by 42 is 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 42

Advancing to step 3:
When dividing 260 by 42, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 252 from 260, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 42

Advancing to step 4:
42 can be fit into 81 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 61.0
The remainder is 39 after subtracting 42 from 81.
Include the next digit (8) from the dividend after 39, then repeat: 398 / 42

On to step 5:
The number 42 fits into 398 9 times, leaving a remainder of 20.
Write down 9 as next digit of the result. 
Result so far: 619.0
If we subtract 378 from 398, we get 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 42

Going ahead to step 6:
42 can be fit into 201 4 times, resulting in a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 6194.0
Deduct 168 from 201 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
When dividing 330 by 42, we get 7 with a remainder of 36.
The next digit of our result is 7. 
Result so far: 6194.7
If we take 294 away from 330, we end up 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 8:
360 divided by 42 is 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 6194.78
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.

Advancing to step 9:
240 divided by 42 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 6194.785
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 42 is 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 6194.7857
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.

Moving on to step 11:
When dividing 60 by 42, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 6194.78571
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.

Going ahead to step 12:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 6194.785714
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 13:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 6194.7857142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
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: 6194.78571428
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.

In conclusion, the division gives 6194.78571428 with a balance of 2.4e-08.