We look at the division of 126905 by 42 
Let's see how many times 42 fits into 126905.

Moving on to step 1:
1 divided by 42 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 42

Advancing to step 2:
If we divide 12 by 42, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 42

On to step 3:
42 goes into 126 3 times with a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 126 from 126, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 42

Let's proceed to step 4:
The number 42 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 30.0
If we subtract 0 from 9, we get 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 42

On to step 5:
42 goes into 90 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 302.0
Subtracting 84 from 90 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 42

Moving on to step 6:
When dividing 65 by 42, we get 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 3021.0
If we subtract 42 from 65, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
42 can be fit into 230 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 3021.5
Subtracting 210 from 230 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 8:
42 goes into 200 4 times with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 3021.54
The remainder is 32 after subtracting 168 from 200.
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 9:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 3021.547
Subtract 294 from 320 to 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.

Going ahead to step 10:
If we divide 260 by 42, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3021.5476
Deduct 252 from 260 and we're left 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.

Moving on to step 11:
80 divided by 42 is 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 3021.54761
If we take 42 away from 80, we end up 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.

Going ahead to step 12:
If we divide 380 by 42, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 3021.547619
Subtract 378 from 380 to 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.

Advancing to step 13:
20 divided by 42 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 3021.547619
Subtract 0 from 20 to get 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:
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: 3021.54761904
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.

In conclusion, the division gives 3021.54761904 with a balance of 3.2e-08.