11838 ÷ 84 
Our goal is to divide 11838 by 84.

Step 1:
When dividing 1 by 84, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 84

Let's proceed to step 2:
If we divide 11 by 84, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 84

Let's proceed to step 3:
When dividing 118 by 84, we get 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 84 away from 118, we end up with 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 84

Going ahead to step 4:
343 divided by 84 is 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 336 from 343 leaves us with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 84

On to step 5:
If we divide 78 by 84, we get 0 and a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 140.0
Subtracting 0 from 78 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 6:
780 divided by 84 is 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 140.9
Deduct 756 from 780 and we're left 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.

Moving on to step 7:
84 can be fit into 240 2 times, resulting in a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 140.92
The remainder is 72 after subtracting 168 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
The number 84 fits into 720 8 times, leaving a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 140.928
Deduct 672 from 720 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
480 divided by 84 is 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 140.9285
The remainder is 60 after subtracting 420 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
84 goes into 600 7 times with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 140.92857
If we take 588 away from 600, we end up 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.

Step 11:
When dividing 120 by 84, we get 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 140.928571
Subtract 84 from 120 to 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 12:
84 goes into 360 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 140.9285714
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.

Let's proceed to step 13:
84 can be fit into 240 2 times, resulting in a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 140.92857142
The remainder is 72 after subtracting 168 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 140.92857142 with a remainder of 7.2e-08.