16814 ÷ 42 
We want to divide 16814 by 42.

Advancing to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 42

Advancing to step 2:
When dividing 16 by 42, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 42

Advancing to step 3:
168 divided by 42 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 0 after subtracting 168 from 168.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 42

Going ahead to step 4:
42 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 1, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 42

Going ahead to step 5:
14 divided by 42 is 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 400.0
If we take 0 away from 14, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 400.3
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 400.33
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 400.33 with a balance of 0.014.