We divide 261181 by 42
We want to divide 261181 by 42.

Moving on to step 1:
42 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 42

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.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 42

Moving on to step 3:
The number 42 fits into 261 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 252 from 261, we get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 42

Let's proceed to step 4:
The number 42 fits into 91 2 times, leaving a remainder of 7.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 84 from 91 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 42

Advancing to step 5:
78 divided by 42 is 1 with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 621.0
If we subtract 42 from 78, we get 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 42

On to step 6:
If we divide 361 by 42, we get 8 and a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 6218.0
Subtract 336 from 361 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
When dividing 250 by 42, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6218.5
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.

Step 8:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 6218.59
Deduct 378 from 400 and we're left 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.

On to step 9:
42 goes into 220 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 6218.595
Subtract 210 from 220 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 6218.5952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 6218.59523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
If we divide 340 by 42, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6218.595238
If we subtract 336 from 340, we get 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:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6218.595238
If we take 0 away from 40, we end up 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 number 9 becomes the next digit in our result. 
Result so far: 6218.59523809
Subtracting 378 from 400 leaves us 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.

The final result is 6218.59523809 with a remainder of 2.2e-08.