13842 ÷ 74 
We want to divide 13842 by 74.

Advancing to step 1:
The number 74 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 74

Advancing to step 2:
74 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 74

On to step 3:
If we divide 138 by 74, we get 1 and a remainder of 64.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 74 from 138, we get 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 74

Let's proceed to step 4:
If we divide 644 by 74, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 18.0
Deduct 592 from 644 and we're left with 52.
Include the next digit (2) from the dividend after 52, then repeat: 522 / 74

Let's proceed to step 5:
74 can be fit into 522 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 187.0
The remainder is 4 after subtracting 518 from 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
The number 74 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 187.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
The number 74 fits into 400 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 187.05
Subtract 370 from 400 to get 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 8:
The number 74 fits into 300 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 187.054
Deduct 296 from 300 and we're left with 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 9:
74 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 187.054
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
If we divide 400 by 74, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 187.05405
If we subtract 370 from 400, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
The number 74 fits into 300 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 187.054054
Subtracting 296 from 300 leaves us with 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 12:
If we divide 40 by 74, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 187.054054
If we subtract 0 from 40, we get 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 13:
The number 74 fits into 400 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 187.05405405
Subtract 370 from 400 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 187.05405405 with a remainder of 3e-08.