678900 divided by 42 
We're looking to find how many times 42 goes into 678900.

Advancing to step 1:
6 divided by 42 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 42

Advancing to step 2:
67 divided by 42 is 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 42 from 67 leaves us with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 42

On to step 3:
The number 42 fits into 258 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 252 away from 258, we end up with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 42

Let's proceed to step 4:
When dividing 69 by 42, we get 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 161.0
The remainder is 27 after subtracting 42 from 69.
Fetch the next digit (0) from the dividend, attach it to 27 and continue: 270 / 42

On to step 5:
42 goes into 270 6 times with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 1616.0
If we take 252 away from 270, we end up with 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 42

Moving on to step 6:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 16164.0
Subtracting 168 from 180 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.

Moving on to step 7:
The number 42 fits into 120 2 times, leaving a remainder of 36.
The next digit of our result is 2. 
Result so far: 16164.2
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
42 goes into 360 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 16164.28
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.

Moving on to step 9:
If we divide 240 by 42, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 16164.285
Subtracting 210 from 240 leaves us 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.

Advancing to step 10:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 16164.2857
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.

Moving on to step 11:
The number 42 fits into 60 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 16164.28571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 16164.285714
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
42 goes into 120 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 16164.2857142
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.

Let's proceed to step 14:
When dividing 360 by 42, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 16164.28571428
Deduct 336 from 360 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.

The final result is 16164.28571428 with a remainder of 2.4e-08.