We're dividing 138276 by 42 
Our goal is to divide 138276 by 42.

Moving on to step 1:
The number 42 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 42

Going ahead to step 2:
42 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 42

Going ahead to step 3:
The number 42 fits into 138 3 times, leaving a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 126 from 138 and we're left with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 42

Advancing to step 4:
If we divide 122 by 42, we get 2 and a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtracting 84 from 122 leaves us with 38.
Include the next digit (7) from the dividend after 38, then repeat: 387 / 42

On to step 5:
If we divide 387 by 42, we get 9 and a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 329.0
The remainder is 9 after subtracting 378 from 387.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 42

On to step 6:
96 divided by 42 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 3292.0
Subtracting 84 from 96 leaves us 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.

On to step 7:
If we divide 120 by 42, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 3292.2
If we take 84 away from 120, 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.

Moving on to step 8:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 3292.28
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.

Let's proceed to step 9:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 3292.285
If we take 210 away from 240, we end up with 30.
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:
If we divide 300 by 42, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 3292.2857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 3292.28571
If we subtract 42 from 60, we get 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:
42 goes into 180 4 times with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 3292.285714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 3292.2857142
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.

On to step 14:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 3292.28571428
Subtract 336 from 360 to 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.

The final outcome is 3292.28571428, with a leftover of 2.4e-08.