10842 ÷ 73 
We want to figure out the number of times 10842 can be divided by 73.

Going ahead to step 1:
73 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 73

Going ahead to step 2:
When dividing 10 by 73, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 73

Step 3:
The number 73 fits into 108 1 times, leaving a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 73 from 108 to get 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 73

On to step 4:
When dividing 354 by 73, we get 4 with a remainder of 62.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 292 away from 354, we end up with 62.
Include the next digit (2) from the dividend after 62, then repeat: 622 / 73

Moving on to step 5:
If we divide 622 by 73, we get 8 and a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 148.0
Subtracting 584 from 622 leaves us 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.

Advancing to step 6:
73 can be fit into 380 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 148.5
Subtract 365 from 380 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
73 can be fit into 150 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 148.52
Subtract 146 from 150 to 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 8:
40 divided by 73 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 148.52
The remainder is 40 after subtracting 0 from 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 9:
If we divide 400 by 73, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 148.5205
The remainder is 35 after subtracting 365 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
350 divided by 73 is 4 with a remainder of 58.
Write down 4 as next digit of the result. 
Result so far: 148.52054
If we subtract 292 from 350, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
The number 73 fits into 580 7 times, leaving a remainder of 69.
The number 7 becomes the next digit in our result. 
Result so far: 148.520547
If we take 511 away from 580, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 12:
73 can be fit into 690 9 times, resulting in a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 148.5205479
Subtracting 657 from 690 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 13:
When dividing 330 by 73, we get 4 with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 148.52054794
Subtracting 292 from 330 leaves us 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.

In conclusion, the division gives 148.52054794 with a balance of 3.8e-08.