Let's divide 268106 by 42
We're looking to find how many times 42 goes into 268106.

Let's proceed to step 1:
42 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 42

Advancing to step 2:
If we divide 26 by 42, we get 0 and a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 42

Let's proceed to step 3:
If we divide 268 by 42, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 16 after subtracting 252 from 268.
Grab the next digit (1) from the dividend, add it to 16, then carry on: 161 / 42

Step 4:
42 can be fit into 161 3 times, resulting in a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we subtract 126 from 161, we get 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 42

On to step 5:
350 divided by 42 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 638.0
Deduct 336 from 350 and we're left with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 42

Moving on to step 6:
The number 42 fits into 146 3 times, leaving a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 6383.0
Subtracting 126 from 146 leaves us 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 7:
42 goes into 200 4 times with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 6383.4
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.

Moving on to step 8:
42 goes into 320 7 times with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 6383.47
Subtracting 294 from 320 leaves us 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.

Step 9:
If we divide 260 by 42, we get 6 and a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6383.476
If we subtract 252 from 260, we get 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 10:
42 goes into 80 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 6383.4761
Subtract 42 from 80 to 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.

Moving on to step 11:
If we divide 380 by 42, we get 9 and a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 6383.47619
Subtracting 378 from 380 leaves us 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.

Moving on to step 12:
When dividing 20 by 42, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6383.47619
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 13:
42 goes into 200 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 6383.4761904
Subtract 168 from 200 to 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.

Let's proceed to step 14:
If we divide 320 by 42, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 6383.47619047
Subtracting 294 from 320 leaves us 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.

In conclusion, the division gives 6383.47619047 with a balance of 2.6e-08.