We're dividing 628719 by 42 
Let's see how many times 42 fits into 628719.

Step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 42

On to step 2:
The number 42 fits into 62 1 times, leaving a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 42 from 62 leaves us with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 42

Moving on to step 3:
208 divided by 42 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtracting 168 from 208 leaves us with 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 42

Step 4:
42 can be fit into 407 9 times, resulting in a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
Subtracting 378 from 407 leaves us with 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 42

Advancing to step 5:
When dividing 291 by 42, we get 6 with a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 1496.0
Deduct 252 from 291 and we're left with 39.
Take the next digit (9) from the dividend and append it to 39, then repeat: 399 / 42

Step 6:
When dividing 399 by 42, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 14969.0
Deduct 378 from 399 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 42 fits into 210 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 14969.5
If we take 210 away from 210, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 42 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 14969.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 42, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 14969.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 14969.5 with a balance of 0.0.